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Finding the Fourth Proportional to 2,338.35, 3,508.10 and 778.35

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Solution

The fourth proportional to 2,338.35, 3,508.10 and 778.35 is: 1,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.35 : 3,508.10 = 778.35 : x
  2. Step 2: Convert to fraction form
    2,338.35/3,508.10 = 778.35/x
  3. Step 3: Cross multiply
    2,338.35x = 3,508.10 × 778.35
  4. Step 4: Simplify right side
    2,338.35x = 2,730,529.64
  5. Step 5: Solve for x
    x = 2,730,529.64/2,338.35
  6. Step 6: Final answer
    x = 1,167.72

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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.