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Finding the Fourth Proportional to 2,301.16, 3,452.32 and 657.85

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Solution

The fourth proportional to 2,301.16, 3,452.32 and 657.85 is: 986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.16 : 3,452.32 = 657.85 : x
  2. Step 2: Convert to fraction form
    2,301.16/3,452.32 = 657.85/x
  3. Step 3: Cross multiply
    2,301.16x = 3,452.32 × 657.85
  4. Step 4: Simplify right side
    2,301.16x = 2,271,097.67
  5. Step 5: Solve for x
    x = 2,271,097.67/2,301.16
  6. Step 6: Final answer
    x = 986.94

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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.