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Finding the Fourth Proportional to 2,124.78, 3,182.52 and 1,506.61

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Solution

The fourth proportional to 2,124.78, 3,182.52 and 1,506.61 is: 2,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.78 : 3,182.52 = 1,506.61 : x
  2. Step 2: Convert to fraction form
    2,124.78/3,182.52 = 1,506.61/x
  3. Step 3: Cross multiply
    2,124.78x = 3,182.52 × 1,506.61
  4. Step 4: Simplify right side
    2,124.78x = 4,794,817.85
  5. Step 5: Solve for x
    x = 4,794,817.85/2,124.78
  6. Step 6: Final answer
    x = 2,256.62

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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.