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Finding the Fourth Proportional to 2,693.78, 4,038.32 and 1,049.18

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Solution

The fourth proportional to 2,693.78, 4,038.32 and 1,049.18 is: 1,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.78 : 4,038.32 = 1,049.18 : x
  2. Step 2: Convert to fraction form
    2,693.78/4,038.32 = 1,049.18/x
  3. Step 3: Cross multiply
    2,693.78x = 4,038.32 × 1,049.18
  4. Step 4: Simplify right side
    2,693.78x = 4,236,924.58
  5. Step 5: Solve for x
    x = 4,236,924.58/2,693.78
  6. Step 6: Final answer
    x = 1,572.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.