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Finding the Fourth Proportional to 1,727.73, 2,590.80 and 557.52

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Solution

The fourth proportional to 1,727.73, 2,590.80 and 557.52 is: 836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.73 : 2,590.80 = 557.52 : x
  2. Step 2: Convert to fraction form
    1,727.73/2,590.80 = 557.52/x
  3. Step 3: Cross multiply
    1,727.73x = 2,590.80 × 557.52
  4. Step 4: Simplify right side
    1,727.73x = 1,444,422.82
  5. Step 5: Solve for x
    x = 1,444,422.82/1,727.73
  6. Step 6: Final answer
    x = 836.02

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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.