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Finding the Fourth Proportional to 2,092.01, 2,886.98 and 1,252.74

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Solution

The fourth proportional to 2,092.01, 2,886.98 and 1,252.74 is: 1,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.01 : 2,886.98 = 1,252.74 : x
  2. Step 2: Convert to fraction form
    2,092.01/2,886.98 = 1,252.74/x
  3. Step 3: Cross multiply
    2,092.01x = 2,886.98 × 1,252.74
  4. Step 4: Simplify right side
    2,092.01x = 3,616,639.89
  5. Step 5: Solve for x
    x = 3,616,639.89/2,092.01
  6. Step 6: Final answer
    x = 1,728.79

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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.