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Finding the Fourth Proportional to 3,301.17, 4,952.16 and 1,220.82

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Solution

The fourth proportional to 3,301.17, 4,952.16 and 1,220.82 is: 1,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.17 : 4,952.16 = 1,220.82 : x
  2. Step 2: Convert to fraction form
    3,301.17/4,952.16 = 1,220.82/x
  3. Step 3: Cross multiply
    3,301.17x = 4,952.16 × 1,220.82
  4. Step 4: Simplify right side
    3,301.17x = 6,045,695.97
  5. Step 5: Solve for x
    x = 6,045,695.97/3,301.17
  6. Step 6: Final answer
    x = 1,831.38

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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.