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Finding the Fourth Proportional to 2,123.80, 2,931.22 and 1,337.24

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Solution

The fourth proportional to 2,123.80, 2,931.22 and 1,337.24 is: 1,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.80 : 2,931.22 = 1,337.24 : x
  2. Step 2: Convert to fraction form
    2,123.80/2,931.22 = 1,337.24/x
  3. Step 3: Cross multiply
    2,123.80x = 2,931.22 × 1,337.24
  4. Step 4: Simplify right side
    2,123.80x = 3,919,744.63
  5. Step 5: Solve for x
    x = 3,919,744.63/2,123.80
  6. Step 6: Final answer
    x = 1,845.63

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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.