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Finding the Fourth Proportional to 2,597.48, 3,895.58 and 865.88

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Solution

The fourth proportional to 2,597.48, 3,895.58 and 865.88 is: 1,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.48 : 3,895.58 = 865.88 : x
  2. Step 2: Convert to fraction form
    2,597.48/3,895.58 = 865.88/x
  3. Step 3: Cross multiply
    2,597.48x = 3,895.58 × 865.88
  4. Step 4: Simplify right side
    2,597.48x = 3,373,104.81
  5. Step 5: Solve for x
    x = 3,373,104.81/2,597.48
  6. Step 6: Final answer
    x = 1,298.61

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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.