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Finding the Fourth Proportional to 1,727.87, 2,587.16 and 904.47

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Solution

The fourth proportional to 1,727.87, 2,587.16 and 904.47 is: 1,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.87 : 2,587.16 = 904.47 : x
  2. Step 2: Convert to fraction form
    1,727.87/2,587.16 = 904.47/x
  3. Step 3: Cross multiply
    1,727.87x = 2,587.16 × 904.47
  4. Step 4: Simplify right side
    1,727.87x = 2,340,004.08
  5. Step 5: Solve for x
    x = 2,340,004.08/1,727.87
  6. Step 6: Final answer
    x = 1,354.27

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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.