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Finding the Fourth Proportional to 2,802.90, 3,864.39 and 1,917.17

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Solution

The fourth proportional to 2,802.90, 3,864.39 and 1,917.17 is: 2,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.90 : 3,864.39 = 1,917.17 : x
  2. Step 2: Convert to fraction form
    2,802.90/3,864.39 = 1,917.17/x
  3. Step 3: Cross multiply
    2,802.90x = 3,864.39 × 1,917.17
  4. Step 4: Simplify right side
    2,802.90x = 7,408,673.25
  5. Step 5: Solve for x
    x = 7,408,673.25/2,802.90
  6. Step 6: Final answer
    x = 2,643.22

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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.