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Finding the Fourth Proportional to 2,058.77, 3,087.95 and 597.89

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Solution

The fourth proportional to 2,058.77, 3,087.95 and 597.89 is: 896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.77 : 3,087.95 = 597.89 : x
  2. Step 2: Convert to fraction form
    2,058.77/3,087.95 = 597.89/x
  3. Step 3: Cross multiply
    2,058.77x = 3,087.95 × 597.89
  4. Step 4: Simplify right side
    2,058.77x = 1,846,236.00
  5. Step 5: Solve for x
    x = 1,846,236.00/2,058.77
  6. Step 6: Final answer
    x = 896.77

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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.