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Finding the Fourth Proportional to 2,087.74, 2,881.56 and 1,248.94

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Solution

The fourth proportional to 2,087.74, 2,881.56 and 1,248.94 is: 1,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.74 : 2,881.56 = 1,248.94 : x
  2. Step 2: Convert to fraction form
    2,087.74/2,881.56 = 1,248.94/x
  3. Step 3: Cross multiply
    2,087.74x = 2,881.56 × 1,248.94
  4. Step 4: Simplify right side
    2,087.74x = 3,598,895.55
  5. Step 5: Solve for x
    x = 3,598,895.55/2,087.74
  6. Step 6: Final answer
    x = 1,723.82

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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.