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Finding the Fourth Proportional to 1,728.14, 2,587.86 and 1,111.91

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Solution

The fourth proportional to 1,728.14, 2,587.86 and 1,111.91 is: 1,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.14 : 2,587.86 = 1,111.91 : x
  2. Step 2: Convert to fraction form
    1,728.14/2,587.86 = 1,111.91/x
  3. Step 3: Cross multiply
    1,728.14x = 2,587.86 × 1,111.91
  4. Step 4: Simplify right side
    1,728.14x = 2,877,454.47
  5. Step 5: Solve for x
    x = 2,877,454.47/1,728.14
  6. Step 6: Final answer
    x = 1,665.06

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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.