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Finding the Fourth Proportional to 2,275.65, 3,409.22 and 1,298.79

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Solution

The fourth proportional to 2,275.65, 3,409.22 and 1,298.79 is: 1,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.65 : 3,409.22 = 1,298.79 : x
  2. Step 2: Convert to fraction form
    2,275.65/3,409.22 = 1,298.79/x
  3. Step 3: Cross multiply
    2,275.65x = 3,409.22 × 1,298.79
  4. Step 4: Simplify right side
    2,275.65x = 4,427,864.09
  5. Step 5: Solve for x
    x = 4,427,864.09/2,275.65
  6. Step 6: Final answer
    x = 1,945.76

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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.