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Finding the Fourth Proportional to 2,862.68, 3,946.93 and 2,191.32

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Solution

The fourth proportional to 2,862.68, 3,946.93 and 2,191.32 is: 3,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.68 : 3,946.93 = 2,191.32 : x
  2. Step 2: Convert to fraction form
    2,862.68/3,946.93 = 2,191.32/x
  3. Step 3: Cross multiply
    2,862.68x = 3,946.93 × 2,191.32
  4. Step 4: Simplify right side
    2,862.68x = 8,648,981.17
  5. Step 5: Solve for x
    x = 8,648,981.17/2,862.68
  6. Step 6: Final answer
    x = 3,021.29

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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.