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Finding the Fourth Proportional to 2,597.12, 3,895.44 and 1,058

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Solution

The fourth proportional to 2,597.12, 3,895.44 and 1,058 is: 1,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.12 : 3,895.44 = 1,058 : x
  2. Step 2: Convert to fraction form
    2,597.12/3,895.44 = 1,058/x
  3. Step 3: Cross multiply
    2,597.12x = 3,895.44 × 1,058
  4. Step 4: Simplify right side
    2,597.12x = 4,121,375.52
  5. Step 5: Solve for x
    x = 4,121,375.52/2,597.12
  6. Step 6: Final answer
    x = 1,586.90

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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.