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Finding the Fourth Proportional to 2,663.47, 4,001.81 and 1,727.01

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Solution

The fourth proportional to 2,663.47, 4,001.81 and 1,727.01 is: 2,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.47 : 4,001.81 = 1,727.01 : x
  2. Step 2: Convert to fraction form
    2,663.47/4,001.81 = 1,727.01/x
  3. Step 3: Cross multiply
    2,663.47x = 4,001.81 × 1,727.01
  4. Step 4: Simplify right side
    2,663.47x = 6,911,162.55
  5. Step 5: Solve for x
    x = 6,911,162.55/2,663.47
  6. Step 6: Final answer
    x = 2,594.80

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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.