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Finding the Fourth Proportional to 1,584.78, 2,374.13 and 1,423.80

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Solution

The fourth proportional to 1,584.78, 2,374.13 and 1,423.80 is: 2,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.78 : 2,374.13 = 1,423.80 : x
  2. Step 2: Convert to fraction form
    1,584.78/2,374.13 = 1,423.80/x
  3. Step 3: Cross multiply
    1,584.78x = 2,374.13 × 1,423.80
  4. Step 4: Simplify right side
    1,584.78x = 3,380,279.18
  5. Step 5: Solve for x
    x = 3,380,279.18/1,584.78
  6. Step 6: Final answer
    x = 2,132.96

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Why These Related Problems?

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