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Finding the Fourth Proportional to 1,559.30, 2,337.87 and 819.35

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Solution

The fourth proportional to 1,559.30, 2,337.87 and 819.35 is: 1,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.30 : 2,337.87 = 819.35 : x
  2. Step 2: Convert to fraction form
    1,559.30/2,337.87 = 819.35/x
  3. Step 3: Cross multiply
    1,559.30x = 2,337.87 × 819.35
  4. Step 4: Simplify right side
    1,559.30x = 1,915,522.10
  5. Step 5: Solve for x
    x = 1,915,522.10/1,559.30
  6. Step 6: Final answer
    x = 1,228.45

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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.