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Finding the Fourth Proportional to 2,275.48, 3,420.78 and 1,867.65

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Solution

The fourth proportional to 2,275.48, 3,420.78 and 1,867.65 is: 2,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.48 : 3,420.78 = 1,867.65 : x
  2. Step 2: Convert to fraction form
    2,275.48/3,420.78 = 1,867.65/x
  3. Step 3: Cross multiply
    2,275.48x = 3,420.78 × 1,867.65
  4. Step 4: Simplify right side
    2,275.48x = 6,388,819.77
  5. Step 5: Solve for x
    x = 6,388,819.77/2,275.48
  6. Step 6: Final answer
    x = 2,807.68

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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.