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Finding the Fourth Proportional to 2,276.64, 3,417.84 and 2,155.68

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Solution

The fourth proportional to 2,276.64, 3,417.84 and 2,155.68 is: 3,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.64 : 3,417.84 = 2,155.68 : x
  2. Step 2: Convert to fraction form
    2,276.64/3,417.84 = 2,155.68/x
  3. Step 3: Cross multiply
    2,276.64x = 3,417.84 × 2,155.68
  4. Step 4: Simplify right side
    2,276.64x = 7,367,769.33
  5. Step 5: Solve for x
    x = 7,367,769.33/2,276.64
  6. Step 6: Final answer
    x = 3,236.25

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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.