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Finding the Fourth Proportional to 1,871.65, 2,802.04 and 1,089.27

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Solution

The fourth proportional to 1,871.65, 2,802.04 and 1,089.27 is: 1,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.65 : 2,802.04 = 1,089.27 : x
  2. Step 2: Convert to fraction form
    1,871.65/2,802.04 = 1,089.27/x
  3. Step 3: Cross multiply
    1,871.65x = 2,802.04 × 1,089.27
  4. Step 4: Simplify right side
    1,871.65x = 3,052,158.65
  5. Step 5: Solve for x
    x = 3,052,158.65/1,871.65
  6. Step 6: Final answer
    x = 1,630.73

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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.