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Finding the Fourth Proportional to 2,854.71, 4,267.98 and 2,420.80

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Solution

The fourth proportional to 2,854.71, 4,267.98 and 2,420.80 is: 3,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.71 : 4,267.98 = 2,420.80 : x
  2. Step 2: Convert to fraction form
    2,854.71/4,267.98 = 2,420.80/x
  3. Step 3: Cross multiply
    2,854.71x = 4,267.98 × 2,420.80
  4. Step 4: Simplify right side
    2,854.71x = 10,331,915.31
  5. Step 5: Solve for x
    x = 10,331,915.31/2,854.71
  6. Step 6: Final answer
    x = 3,619.25

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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.