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Finding the Fourth Proportional to 3,432.98, 5,148.65 and 1,484.12

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Solution

The fourth proportional to 3,432.98, 5,148.65 and 1,484.12 is: 2,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.98 : 5,148.65 = 1,484.12 : x
  2. Step 2: Convert to fraction form
    3,432.98/5,148.65 = 1,484.12/x
  3. Step 3: Cross multiply
    3,432.98x = 5,148.65 × 1,484.12
  4. Step 4: Simplify right side
    3,432.98x = 7,641,181.27
  5. Step 5: Solve for x
    x = 7,641,181.27/3,432.98
  6. Step 6: Final answer
    x = 2,225.82

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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.