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Finding the Fourth Proportional to 2,695.47, 3,719.53 and 1,516.74

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Solution

The fourth proportional to 2,695.47, 3,719.53 and 1,516.74 is: 2,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.47 : 3,719.53 = 1,516.74 : x
  2. Step 2: Convert to fraction form
    2,695.47/3,719.53 = 1,516.74/x
  3. Step 3: Cross multiply
    2,695.47x = 3,719.53 × 1,516.74
  4. Step 4: Simplify right side
    2,695.47x = 5,641,559.93
  5. Step 5: Solve for x
    x = 5,641,559.93/2,695.47
  6. Step 6: Final answer
    x = 2,092.98

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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.