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Finding the Fourth Proportional to 2,534.85, 3,802.39 and 2,044.17

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Solution

The fourth proportional to 2,534.85, 3,802.39 and 2,044.17 is: 3,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.85 : 3,802.39 = 2,044.17 : x
  2. Step 2: Convert to fraction form
    2,534.85/3,802.39 = 2,044.17/x
  3. Step 3: Cross multiply
    2,534.85x = 3,802.39 × 2,044.17
  4. Step 4: Simplify right side
    2,534.85x = 7,772,726.46
  5. Step 5: Solve for x
    x = 7,772,726.46/2,534.85
  6. Step 6: Final answer
    x = 3,066.35

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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.