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Finding the Fourth Proportional to 2,938.68, 4,382.10 and 2,530.44

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Solution

The fourth proportional to 2,938.68, 4,382.10 and 2,530.44 is: 3,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.68 : 4,382.10 = 2,530.44 : x
  2. Step 2: Convert to fraction form
    2,938.68/4,382.10 = 2,530.44/x
  3. Step 3: Cross multiply
    2,938.68x = 4,382.10 × 2,530.44
  4. Step 4: Simplify right side
    2,938.68x = 11,088,641.12
  5. Step 5: Solve for x
    x = 11,088,641.12/2,938.68
  6. Step 6: Final answer
    x = 3,773.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.