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Finding the Fourth Proportional to 2,396.66, 3,595.16 and 753.20

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Solution

The fourth proportional to 2,396.66, 3,595.16 and 753.20 is: 1,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.66 : 3,595.16 = 753.20 : x
  2. Step 2: Convert to fraction form
    2,396.66/3,595.16 = 753.20/x
  3. Step 3: Cross multiply
    2,396.66x = 3,595.16 × 753.20
  4. Step 4: Simplify right side
    2,396.66x = 2,707,858.42
  5. Step 5: Solve for x
    x = 2,707,858.42/2,396.66
  6. Step 6: Final answer
    x = 1,129.85

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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.