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Finding the Fourth Proportional to 2,596.76, 3,895.68 and 865.40

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Solution

The fourth proportional to 2,596.76, 3,895.68 and 865.40 is: 1,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.76 : 3,895.68 = 865.40 : x
  2. Step 2: Convert to fraction form
    2,596.76/3,895.68 = 865.40/x
  3. Step 3: Cross multiply
    2,596.76x = 3,895.68 × 865.40
  4. Step 4: Simplify right side
    2,596.76x = 3,371,321.47
  5. Step 5: Solve for x
    x = 3,371,321.47/2,596.76
  6. Step 6: Final answer
    x = 1,298.28

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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.