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Finding the Fourth Proportional to 1,701.89, 2,549.56 and 1,264.17

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Solution

The fourth proportional to 1,701.89, 2,549.56 and 1,264.17 is: 1,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.89 : 2,549.56 = 1,264.17 : x
  2. Step 2: Convert to fraction form
    1,701.89/2,549.56 = 1,264.17/x
  3. Step 3: Cross multiply
    1,701.89x = 2,549.56 × 1,264.17
  4. Step 4: Simplify right side
    1,701.89x = 3,223,077.27
  5. Step 5: Solve for x
    x = 3,223,077.27/1,701.89
  6. Step 6: Final answer
    x = 1,893.82

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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.