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Finding the Fourth Proportional to 2,123.84, 2,930.56 and 1,239.44

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Solution

The fourth proportional to 2,123.84, 2,930.56 and 1,239.44 is: 1,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.84 : 2,930.56 = 1,239.44 : x
  2. Step 2: Convert to fraction form
    2,123.84/2,930.56 = 1,239.44/x
  3. Step 3: Cross multiply
    2,123.84x = 2,930.56 × 1,239.44
  4. Step 4: Simplify right side
    2,123.84x = 3,632,253.29
  5. Step 5: Solve for x
    x = 3,632,253.29/2,123.84
  6. Step 6: Final answer
    x = 1,710.23

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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.