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Finding the Fourth Proportional to 2,597.62, 3,896.19 and 1,058.50

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Solution

The fourth proportional to 2,597.62, 3,896.19 and 1,058.50 is: 1,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.62 : 3,896.19 = 1,058.50 : x
  2. Step 2: Convert to fraction form
    2,597.62/3,896.19 = 1,058.50/x
  3. Step 3: Cross multiply
    2,597.62x = 3,896.19 × 1,058.50
  4. Step 4: Simplify right side
    2,597.62x = 4,124,117.12
  5. Step 5: Solve for x
    x = 4,124,117.12/2,597.62
  6. Step 6: Final answer
    x = 1,587.65

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.