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Finding the Fourth Proportional to 2,300.98, 3,452.01 and 657.55

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Solution

The fourth proportional to 2,300.98, 3,452.01 and 657.55 is: 986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.98 : 3,452.01 = 657.55 : x
  2. Step 2: Convert to fraction form
    2,300.98/3,452.01 = 657.55/x
  3. Step 3: Cross multiply
    2,300.98x = 3,452.01 × 657.55
  4. Step 4: Simplify right side
    2,300.98x = 2,269,869.18
  5. Step 5: Solve for x
    x = 2,269,869.18/2,300.98
  6. Step 6: Final answer
    x = 986.48

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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.