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Finding the Fourth Proportional to 2,323.84, 3,487.28 and 1,544.72

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Solution

The fourth proportional to 2,323.84, 3,487.28 and 1,544.72 is: 2,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.84 : 3,487.28 = 1,544.72 : x
  2. Step 2: Convert to fraction form
    2,323.84/3,487.28 = 1,544.72/x
  3. Step 3: Cross multiply
    2,323.84x = 3,487.28 × 1,544.72
  4. Step 4: Simplify right side
    2,323.84x = 5,386,871.16
  5. Step 5: Solve for x
    x = 5,386,871.16/2,323.84
  6. Step 6: Final answer
    x = 2,318.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.