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Finding the Fourth Proportional to 2,146.38, 3,219.51 and 913.17

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Solution

The fourth proportional to 2,146.38, 3,219.51 and 913.17 is: 1,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.38 : 3,219.51 = 913.17 : x
  2. Step 2: Convert to fraction form
    2,146.38/3,219.51 = 913.17/x
  3. Step 3: Cross multiply
    2,146.38x = 3,219.51 × 913.17
  4. Step 4: Simplify right side
    2,146.38x = 2,939,959.95
  5. Step 5: Solve for x
    x = 2,939,959.95/2,146.38
  6. Step 6: Final answer
    x = 1,369.73

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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.