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Finding the Fourth Proportional to 2,502.47, 3,754.51 and 1,762.13

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Solution

The fourth proportional to 2,502.47, 3,754.51 and 1,762.13 is: 2,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.47 : 3,754.51 = 1,762.13 : x
  2. Step 2: Convert to fraction form
    2,502.47/3,754.51 = 1,762.13/x
  3. Step 3: Cross multiply
    2,502.47x = 3,754.51 × 1,762.13
  4. Step 4: Simplify right side
    2,502.47x = 6,615,911.53
  5. Step 5: Solve for x
    x = 6,615,911.53/2,502.47
  6. Step 6: Final answer
    x = 2,643.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.