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Finding the Fourth Proportional to 1,754.61, 2,630.26 and 876.57

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Solution

The fourth proportional to 1,754.61, 2,630.26 and 876.57 is: 1,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.61 : 2,630.26 = 876.57 : x
  2. Step 2: Convert to fraction form
    1,754.61/2,630.26 = 876.57/x
  3. Step 3: Cross multiply
    1,754.61x = 2,630.26 × 876.57
  4. Step 4: Simplify right side
    1,754.61x = 2,305,607.01
  5. Step 5: Solve for x
    x = 2,305,607.01/1,754.61
  6. Step 6: Final answer
    x = 1,314.03

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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.