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Finding the Fourth Proportional to 1,754.31, 2,630.59 and 583.90

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Solution

The fourth proportional to 1,754.31, 2,630.59 and 583.90 is: 875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.31 : 2,630.59 = 583.90 : x
  2. Step 2: Convert to fraction form
    1,754.31/2,630.59 = 583.90/x
  3. Step 3: Cross multiply
    1,754.31x = 2,630.59 × 583.90
  4. Step 4: Simplify right side
    1,754.31x = 1,536,003.33
  5. Step 5: Solve for x
    x = 1,536,003.33/1,754.31
  6. Step 6: Final answer
    x = 875.56

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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.