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Finding the Fourth Proportional to 2,123.60, 2,930.76 and 1,239.69

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Solution

The fourth proportional to 2,123.60, 2,930.76 and 1,239.69 is: 1,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.60 : 2,930.76 = 1,239.69 : x
  2. Step 2: Convert to fraction form
    2,123.60/2,930.76 = 1,239.69/x
  3. Step 3: Cross multiply
    2,123.60x = 2,930.76 × 1,239.69
  4. Step 4: Simplify right side
    2,123.60x = 3,633,218.23
  5. Step 5: Solve for x
    x = 3,633,218.23/2,123.60
  6. Step 6: Final answer
    x = 1,710.88

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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.