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Finding the Fourth Proportional to 1,334.98, 1,844.14 and 1,264.92

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Solution

The fourth proportional to 1,334.98, 1,844.14 and 1,264.92 is: 1,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.98 : 1,844.14 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    1,334.98/1,844.14 = 1,264.92/x
  3. Step 3: Cross multiply
    1,334.98x = 1,844.14 × 1,264.92
  4. Step 4: Simplify right side
    1,334.98x = 2,332,689.57
  5. Step 5: Solve for x
    x = 2,332,689.57/1,334.98
  6. Step 6: Final answer
    x = 1,747.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.