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Finding the Fourth Proportional to 2,337.22, 3,506.44 and 876.40

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Solution

The fourth proportional to 2,337.22, 3,506.44 and 876.40 is: 1,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.22 : 3,506.44 = 876.40 : x
  2. Step 2: Convert to fraction form
    2,337.22/3,506.44 = 876.40/x
  3. Step 3: Cross multiply
    2,337.22x = 3,506.44 × 876.40
  4. Step 4: Simplify right side
    2,337.22x = 3,073,044.02
  5. Step 5: Solve for x
    x = 3,073,044.02/2,337.22
  6. Step 6: Final answer
    x = 1,314.83

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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.