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Finding the Fourth Proportional to 2,716.47, 3,749.40 and 1,538.24

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Solution

The fourth proportional to 2,716.47, 3,749.40 and 1,538.24 is: 2,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.47 : 3,749.40 = 1,538.24 : x
  2. Step 2: Convert to fraction form
    2,716.47/3,749.40 = 1,538.24/x
  3. Step 3: Cross multiply
    2,716.47x = 3,749.40 × 1,538.24
  4. Step 4: Simplify right side
    2,716.47x = 5,767,458.31
  5. Step 5: Solve for x
    x = 5,767,458.31/2,716.47
  6. Step 6: Final answer
    x = 2,123.14

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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.