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Finding the Fourth Proportional to 2,990.64, 4,123.44 and 2,429.52

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Solution

The fourth proportional to 2,990.64, 4,123.44 and 2,429.52 is: 3,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.64 : 4,123.44 = 2,429.52 : x
  2. Step 2: Convert to fraction form
    2,990.64/4,123.44 = 2,429.52/x
  3. Step 3: Cross multiply
    2,990.64x = 4,123.44 × 2,429.52
  4. Step 4: Simplify right side
    2,990.64x = 10,017,979.95
  5. Step 5: Solve for x
    x = 10,017,979.95/2,990.64
  6. Step 6: Final answer
    x = 3,349.78

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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.