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Finding the Fourth Proportional to 2,681.16, 3,700.25 and 1,502.61

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Solution

The fourth proportional to 2,681.16, 3,700.25 and 1,502.61 is: 2,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.16 : 3,700.25 = 1,502.61 : x
  2. Step 2: Convert to fraction form
    2,681.16/3,700.25 = 1,502.61/x
  3. Step 3: Cross multiply
    2,681.16x = 3,700.25 × 1,502.61
  4. Step 4: Simplify right side
    2,681.16x = 5,560,025.14
  5. Step 5: Solve for x
    x = 5,560,025.14/2,681.16
  6. Step 6: Final answer
    x = 2,073.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.