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Finding the Fourth Proportional to 2,516.31, 3,470.81 and 1,925.82

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Solution

The fourth proportional to 2,516.31, 3,470.81 and 1,925.82 is: 2,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.31 : 3,470.81 = 1,925.82 : x
  2. Step 2: Convert to fraction form
    2,516.31/3,470.81 = 1,925.82/x
  3. Step 3: Cross multiply
    2,516.31x = 3,470.81 × 1,925.82
  4. Step 4: Simplify right side
    2,516.31x = 6,684,145.69
  5. Step 5: Solve for x
    x = 6,684,145.69/2,516.31
  6. Step 6: Final answer
    x = 2,656.33

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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.