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Finding the Fourth Proportional to 2,290.98, 3,437.72 and 992.55

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Solution

The fourth proportional to 2,290.98, 3,437.72 and 992.55 is: 1,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.98 : 3,437.72 = 992.55 : x
  2. Step 2: Convert to fraction form
    2,290.98/3,437.72 = 992.55/x
  3. Step 3: Cross multiply
    2,290.98x = 3,437.72 × 992.55
  4. Step 4: Simplify right side
    2,290.98x = 3,412,104.02
  5. Step 5: Solve for x
    x = 3,412,104.02/2,290.98
  6. Step 6: Final answer
    x = 1,489.36

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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.