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Finding the Fourth Proportional to 4,599.60, 6,901.20 and 1,678.20

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Solution

The fourth proportional to 4,599.60, 6,901.20 and 1,678.20 is: 2,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.60 : 6,901.20 = 1,678.20 : x
  2. Step 2: Convert to fraction form
    4,599.60/6,901.20 = 1,678.20/x
  3. Step 3: Cross multiply
    4,599.60x = 6,901.20 × 1,678.20
  4. Step 4: Simplify right side
    4,599.60x = 11,581,593.84
  5. Step 5: Solve for x
    x = 11,581,593.84/4,599.60
  6. Step 6: Final answer
    x = 2,517.96

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1.5x scale

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.