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Finding the Fourth Proportional to 3,278.77, 4,918.65 and 1,087

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Solution

The fourth proportional to 3,278.77, 4,918.65 and 1,087 is: 1,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.77 : 4,918.65 = 1,087 : x
  2. Step 2: Convert to fraction form
    3,278.77/4,918.65 = 1,087/x
  3. Step 3: Cross multiply
    3,278.77x = 4,918.65 × 1,087
  4. Step 4: Simplify right side
    3,278.77x = 5,346,572.55
  5. Step 5: Solve for x
    x = 5,346,572.55/3,278.77
  6. Step 6: Final answer
    x = 1,630.66

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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.