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Finding the Fourth Proportional to 2,862.29, 4,271.71 and 2,788.48

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Solution

The fourth proportional to 2,862.29, 4,271.71 and 2,788.48 is: 4,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.29 : 4,271.71 = 2,788.48 : x
  2. Step 2: Convert to fraction form
    2,862.29/4,271.71 = 2,788.48/x
  3. Step 3: Cross multiply
    2,862.29x = 4,271.71 × 2,788.48
  4. Step 4: Simplify right side
    2,862.29x = 11,911,592.34
  5. Step 5: Solve for x
    x = 11,911,592.34/2,862.29
  6. Step 6: Final answer
    x = 4,161.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.