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Finding the Fourth Proportional to 2,287.20, 3,430.80 and 1,132.80

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Solution

The fourth proportional to 2,287.20, 3,430.80 and 1,132.80 is: 1,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.20 : 3,430.80 = 1,132.80 : x
  2. Step 2: Convert to fraction form
    2,287.20/3,430.80 = 1,132.80/x
  3. Step 3: Cross multiply
    2,287.20x = 3,430.80 × 1,132.80
  4. Step 4: Simplify right side
    2,287.20x = 3,886,410.24
  5. Step 5: Solve for x
    x = 3,886,410.24/2,287.20
  6. Step 6: Final answer
    x = 1,699.20

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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.