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Finding the Fourth Proportional to 2,657.44, 3,665.20 and 2,359

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Solution

The fourth proportional to 2,657.44, 3,665.20 and 2,359 is: 3,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.44 : 3,665.20 = 2,359 : x
  2. Step 2: Convert to fraction form
    2,657.44/3,665.20 = 2,359/x
  3. Step 3: Cross multiply
    2,657.44x = 3,665.20 × 2,359
  4. Step 4: Simplify right side
    2,657.44x = 8,646,206.80
  5. Step 5: Solve for x
    x = 8,646,206.80/2,657.44
  6. Step 6: Final answer
    x = 3,253.58

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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.