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Finding the Fourth Proportional to 2,337.59, 3,221.96 and 2,053.28

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Solution

The fourth proportional to 2,337.59, 3,221.96 and 2,053.28 is: 2,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.59 : 3,221.96 = 2,053.28 : x
  2. Step 2: Convert to fraction form
    2,337.59/3,221.96 = 2,053.28/x
  3. Step 3: Cross multiply
    2,337.59x = 3,221.96 × 2,053.28
  4. Step 4: Simplify right side
    2,337.59x = 6,615,586.03
  5. Step 5: Solve for x
    x = 6,615,586.03/2,337.59
  6. Step 6: Final answer
    x = 2,830.09

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