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Finding the Fourth Proportional to 2,266.52, 3,400.87 and 1,170.32

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Solution

The fourth proportional to 2,266.52, 3,400.87 and 1,170.32 is: 1,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.52 : 3,400.87 = 1,170.32 : x
  2. Step 2: Convert to fraction form
    2,266.52/3,400.87 = 1,170.32/x
  3. Step 3: Cross multiply
    2,266.52x = 3,400.87 × 1,170.32
  4. Step 4: Simplify right side
    2,266.52x = 3,980,111.75
  5. Step 5: Solve for x
    x = 3,980,111.75/2,266.52
  6. Step 6: Final answer
    x = 1,756.04

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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.