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Finding the Fourth Proportional to 1,507.20, 2,262.60 and 849.60

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Solution

The fourth proportional to 1,507.20, 2,262.60 and 849.60 is: 1,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.20 : 2,262.60 = 849.60 : x
  2. Step 2: Convert to fraction form
    1,507.20/2,262.60 = 849.60/x
  3. Step 3: Cross multiply
    1,507.20x = 2,262.60 × 849.60
  4. Step 4: Simplify right side
    1,507.20x = 1,922,304.96
  5. Step 5: Solve for x
    x = 1,922,304.96/1,507.20
  6. Step 6: Final answer
    x = 1,275.41

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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.