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Finding the Fourth Proportional to 2,178.40, 3,267.60 and 2,077.60

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Solution

The fourth proportional to 2,178.40, 3,267.60 and 2,077.60 is: 3,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.40 : 3,267.60 = 2,077.60 : x
  2. Step 2: Convert to fraction form
    2,178.40/3,267.60 = 2,077.60/x
  3. Step 3: Cross multiply
    2,178.40x = 3,267.60 × 2,077.60
  4. Step 4: Simplify right side
    2,178.40x = 6,788,765.76
  5. Step 5: Solve for x
    x = 6,788,765.76/2,178.40
  6. Step 6: Final answer
    x = 3,116.40

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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.