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Finding the Fourth Proportional to 3,069.60, 4,604.54 and 878.64

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Solution

The fourth proportional to 3,069.60, 4,604.54 and 878.64 is: 1,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.60 : 4,604.54 = 878.64 : x
  2. Step 2: Convert to fraction form
    3,069.60/4,604.54 = 878.64/x
  3. Step 3: Cross multiply
    3,069.60x = 4,604.54 × 878.64
  4. Step 4: Simplify right side
    3,069.60x = 4,045,733.03
  5. Step 5: Solve for x
    x = 4,045,733.03/3,069.60
  6. Step 6: Final answer
    x = 1,318.00

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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.