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Finding the Fourth Proportional to 2,123.76, 2,930.80 and 1,192.26

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Solution

The fourth proportional to 2,123.76, 2,930.80 and 1,192.26 is: 1,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.76 : 2,930.80 = 1,192.26 : x
  2. Step 2: Convert to fraction form
    2,123.76/2,930.80 = 1,192.26/x
  3. Step 3: Cross multiply
    2,123.76x = 2,930.80 × 1,192.26
  4. Step 4: Simplify right side
    2,123.76x = 3,494,275.61
  5. Step 5: Solve for x
    x = 3,494,275.61/2,123.76
  6. Step 6: Final answer
    x = 1,645.33

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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.