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Finding the Fourth Proportional to 1,657.49, 2,486.10 and 963.71

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Solution

The fourth proportional to 1,657.49, 2,486.10 and 963.71 is: 1,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.49 : 2,486.10 = 963.71 : x
  2. Step 2: Convert to fraction form
    1,657.49/2,486.10 = 963.71/x
  3. Step 3: Cross multiply
    1,657.49x = 2,486.10 × 963.71
  4. Step 4: Simplify right side
    1,657.49x = 2,395,892.11
  5. Step 5: Solve for x
    x = 2,395,892.11/1,657.49
  6. Step 6: Final answer
    x = 1,445.50

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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.