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Finding the Fourth Proportional to 2,474.52, 3,411.90 and 1,590.36

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Solution

The fourth proportional to 2,474.52, 3,411.90 and 1,590.36 is: 2,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.52 : 3,411.90 = 1,590.36 : x
  2. Step 2: Convert to fraction form
    2,474.52/3,411.90 = 1,590.36/x
  3. Step 3: Cross multiply
    2,474.52x = 3,411.90 × 1,590.36
  4. Step 4: Simplify right side
    2,474.52x = 5,426,149.28
  5. Step 5: Solve for x
    x = 5,426,149.28/2,474.52
  6. Step 6: Final answer
    x = 2,192.81

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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.