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Finding the Fourth Proportional to 2,013.74, 2,778.95 and 1,129.54

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Solution

The fourth proportional to 2,013.74, 2,778.95 and 1,129.54 is: 1,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.74 : 2,778.95 = 1,129.54 : x
  2. Step 2: Convert to fraction form
    2,013.74/2,778.95 = 1,129.54/x
  3. Step 3: Cross multiply
    2,013.74x = 2,778.95 × 1,129.54
  4. Step 4: Simplify right side
    2,013.74x = 3,138,935.13
  5. Step 5: Solve for x
    x = 3,138,935.13/2,013.74
  6. Step 6: Final answer
    x = 1,558.76

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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.