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Finding the Fourth Proportional to 2,459.71, 3,680.90 and 1,535.70

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Solution

The fourth proportional to 2,459.71, 3,680.90 and 1,535.70 is: 2,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.71 : 3,680.90 = 1,535.70 : x
  2. Step 2: Convert to fraction form
    2,459.71/3,680.90 = 1,535.70/x
  3. Step 3: Cross multiply
    2,459.71x = 3,680.90 × 1,535.70
  4. Step 4: Simplify right side
    2,459.71x = 5,652,758.13
  5. Step 5: Solve for x
    x = 5,652,758.13/2,459.71
  6. Step 6: Final answer
    x = 2,298.14

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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.