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Finding the Fourth Proportional to 2,404.84, 3,612.12 and 1,432.84

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Solution

The fourth proportional to 2,404.84, 3,612.12 and 1,432.84 is: 2,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.84 : 3,612.12 = 1,432.84 : x
  2. Step 2: Convert to fraction form
    2,404.84/3,612.12 = 1,432.84/x
  3. Step 3: Cross multiply
    2,404.84x = 3,612.12 × 1,432.84
  4. Step 4: Simplify right side
    2,404.84x = 5,175,590.02
  5. Step 5: Solve for x
    x = 5,175,590.02/2,404.84
  6. Step 6: Final answer
    x = 2,152.16

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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.