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Finding the Fourth Proportional to 2,699.29, 4,048.32 and 1,761.94

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Solution

The fourth proportional to 2,699.29, 4,048.32 and 1,761.94 is: 2,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.29 : 4,048.32 = 1,761.94 : x
  2. Step 2: Convert to fraction form
    2,699.29/4,048.32 = 1,761.94/x
  3. Step 3: Cross multiply
    2,699.29x = 4,048.32 × 1,761.94
  4. Step 4: Simplify right side
    2,699.29x = 7,132,876.70
  5. Step 5: Solve for x
    x = 7,132,876.70/2,699.29
  6. Step 6: Final answer
    x = 2,642.51

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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.