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Finding the Fourth Proportional to 2,411.52, 3,329.28 and 1,585.92

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Solution

The fourth proportional to 2,411.52, 3,329.28 and 1,585.92 is: 2,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.52 : 3,329.28 = 1,585.92 : x
  2. Step 2: Convert to fraction form
    2,411.52/3,329.28 = 1,585.92/x
  3. Step 3: Cross multiply
    2,411.52x = 3,329.28 × 1,585.92
  4. Step 4: Simplify right side
    2,411.52x = 5,279,971.74
  5. Step 5: Solve for x
    x = 5,279,971.74/2,411.52
  6. Step 6: Final answer
    x = 2,189.48

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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.