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Finding the Fourth Proportional to 1,722.46, 2,377.02 and 1,058.92

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Solution

The fourth proportional to 1,722.46, 2,377.02 and 1,058.92 is: 1,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.46 : 2,377.02 = 1,058.92 : x
  2. Step 2: Convert to fraction form
    1,722.46/2,377.02 = 1,058.92/x
  3. Step 3: Cross multiply
    1,722.46x = 2,377.02 × 1,058.92
  4. Step 4: Simplify right side
    1,722.46x = 2,517,074.02
  5. Step 5: Solve for x
    x = 2,517,074.02/1,722.46
  6. Step 6: Final answer
    x = 1,461.33

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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.