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Finding the Fourth Proportional to 2,756.07, 3,802.35 and 1,761.24

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Solution

The fourth proportional to 2,756.07, 3,802.35 and 1,761.24 is: 2,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.07 : 3,802.35 = 1,761.24 : x
  2. Step 2: Convert to fraction form
    2,756.07/3,802.35 = 1,761.24/x
  3. Step 3: Cross multiply
    2,756.07x = 3,802.35 × 1,761.24
  4. Step 4: Simplify right side
    2,756.07x = 6,696,850.91
  5. Step 5: Solve for x
    x = 6,696,850.91/2,756.07
  6. Step 6: Final answer
    x = 2,429.86

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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.