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Finding the Fourth Proportional to 2,275.29, 3,409.29 and 1,910.79

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Solution

The fourth proportional to 2,275.29, 3,409.29 and 1,910.79 is: 2,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.29 : 3,409.29 = 1,910.79 : x
  2. Step 2: Convert to fraction form
    2,275.29/3,409.29 = 1,910.79/x
  3. Step 3: Cross multiply
    2,275.29x = 3,409.29 × 1,910.79
  4. Step 4: Simplify right side
    2,275.29x = 6,514,437.24
  5. Step 5: Solve for x
    x = 6,514,437.24/2,275.29
  6. Step 6: Final answer
    x = 2,863.12

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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.