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Finding the Fourth Proportional to 3,284, 4,532 and 1,867.76

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Solution

The fourth proportional to 3,284, 4,532 and 1,867.76 is: 2,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284 : 4,532 = 1,867.76 : x
  2. Step 2: Convert to fraction form
    3,284/4,532 = 1,867.76/x
  3. Step 3: Cross multiply
    3,284x = 4,532 × 1,867.76
  4. Step 4: Simplify right side
    3,284x = 8,464,688.32
  5. Step 5: Solve for x
    x = 8,464,688.32/3,284
  6. Step 6: Final answer
    x = 2,577.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.