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Finding the Fourth Proportional to 1,497.18, 2,243.83 and 1,034.22

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Solution

The fourth proportional to 1,497.18, 2,243.83 and 1,034.22 is: 1,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.18 : 2,243.83 = 1,034.22 : x
  2. Step 2: Convert to fraction form
    1,497.18/2,243.83 = 1,034.22/x
  3. Step 3: Cross multiply
    1,497.18x = 2,243.83 × 1,034.22
  4. Step 4: Simplify right side
    1,497.18x = 2,320,613.86
  5. Step 5: Solve for x
    x = 2,320,613.86/1,497.18
  6. Step 6: Final answer
    x = 1,549.99

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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.