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Finding the Fourth Proportional to 2,867.60, 4,280.50 and 2,522

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Solution

The fourth proportional to 2,867.60, 4,280.50 and 2,522 is: 3,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.60 : 4,280.50 = 2,522 : x
  2. Step 2: Convert to fraction form
    2,867.60/4,280.50 = 2,522/x
  3. Step 3: Cross multiply
    2,867.60x = 4,280.50 × 2,522
  4. Step 4: Simplify right side
    2,867.60x = 10,795,421
  5. Step 5: Solve for x
    x = 10,795,421/2,867.60
  6. Step 6: Final answer
    x = 3,764.62

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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.