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Finding the Fourth Proportional to 1,229.01, 1,831.08 and 1,167.05

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Solution

The fourth proportional to 1,229.01, 1,831.08 and 1,167.05 is: 1,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.01 : 1,831.08 = 1,167.05 : x
  2. Step 2: Convert to fraction form
    1,229.01/1,831.08 = 1,167.05/x
  3. Step 3: Cross multiply
    1,229.01x = 1,831.08 × 1,167.05
  4. Step 4: Simplify right side
    1,229.01x = 2,136,952.76
  5. Step 5: Solve for x
    x = 2,136,952.76/1,229.01
  6. Step 6: Final answer
    x = 1,738.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.