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Finding the Fourth Proportional to 2,178.80, 3,265.80 and 1,205.60

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Solution

The fourth proportional to 2,178.80, 3,265.80 and 1,205.60 is: 1,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.80 : 3,265.80 = 1,205.60 : x
  2. Step 2: Convert to fraction form
    2,178.80/3,265.80 = 1,205.60/x
  3. Step 3: Cross multiply
    2,178.80x = 3,265.80 × 1,205.60
  4. Step 4: Simplify right side
    2,178.80x = 3,937,248.48
  5. Step 5: Solve for x
    x = 3,937,248.48/2,178.80
  6. Step 6: Final answer
    x = 1,807.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.