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Finding the Fourth Proportional to 1,802.28, 2,700.72 and 1,254.18

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Solution

The fourth proportional to 1,802.28, 2,700.72 and 1,254.18 is: 1,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.28 : 2,700.72 = 1,254.18 : x
  2. Step 2: Convert to fraction form
    1,802.28/2,700.72 = 1,254.18/x
  3. Step 3: Cross multiply
    1,802.28x = 2,700.72 × 1,254.18
  4. Step 4: Simplify right side
    1,802.28x = 3,387,189.01
  5. Step 5: Solve for x
    x = 3,387,189.01/1,802.28
  6. Step 6: Final answer
    x = 1,879.39

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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.