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Finding the Fourth Proportional to 2,952.40, 4,074.76 and 2,243.08

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Solution

The fourth proportional to 2,952.40, 4,074.76 and 2,243.08 is: 3,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.40 : 4,074.76 = 2,243.08 : x
  2. Step 2: Convert to fraction form
    2,952.40/4,074.76 = 2,243.08/x
  3. Step 3: Cross multiply
    2,952.40x = 4,074.76 × 2,243.08
  4. Step 4: Simplify right side
    2,952.40x = 9,140,012.66
  5. Step 5: Solve for x
    x = 9,140,012.66/2,952.40
  6. Step 6: Final answer
    x = 3,095.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.