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Finding the Fourth Proportional to 2,862.10, 4,293.15 and 2,643.40

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Solution

The fourth proportional to 2,862.10, 4,293.15 and 2,643.40 is: 3,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.10 : 4,293.15 = 2,643.40 : x
  2. Step 2: Convert to fraction form
    2,862.10/4,293.15 = 2,643.40/x
  3. Step 3: Cross multiply
    2,862.10x = 4,293.15 × 2,643.40
  4. Step 4: Simplify right side
    2,862.10x = 11,348,512.71
  5. Step 5: Solve for x
    x = 11,348,512.71/2,862.10
  6. Step 6: Final answer
    x = 3,965.10

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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.