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Finding the Fourth Proportional to 2,337.76, 3,225.64 and 1,778.08

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Solution

The fourth proportional to 2,337.76, 3,225.64 and 1,778.08 is: 2,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.76 : 3,225.64 = 1,778.08 : x
  2. Step 2: Convert to fraction form
    2,337.76/3,225.64 = 1,778.08/x
  3. Step 3: Cross multiply
    2,337.76x = 3,225.64 × 1,778.08
  4. Step 4: Simplify right side
    2,337.76x = 5,735,445.97
  5. Step 5: Solve for x
    x = 5,735,445.97/2,337.76
  6. Step 6: Final answer
    x = 2,453.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.