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Finding the Fourth Proportional to 2,752.71, 3,798.69 and 1,493.76

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Solution

The fourth proportional to 2,752.71, 3,798.69 and 1,493.76 is: 2,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.71 : 3,798.69 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    2,752.71/3,798.69 = 1,493.76/x
  3. Step 3: Cross multiply
    2,752.71x = 3,798.69 × 1,493.76
  4. Step 4: Simplify right side
    2,752.71x = 5,674,331.17
  5. Step 5: Solve for x
    x = 5,674,331.17/2,752.71
  6. Step 6: Final answer
    x = 2,061.36

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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.