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Finding the Fourth Proportional to 3,070.59, 4,604.52 and 878.82

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Solution

The fourth proportional to 3,070.59, 4,604.52 and 878.82 is: 1,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.59 : 4,604.52 = 878.82 : x
  2. Step 2: Convert to fraction form
    3,070.59/4,604.52 = 878.82/x
  3. Step 3: Cross multiply
    3,070.59x = 4,604.52 × 878.82
  4. Step 4: Simplify right side
    3,070.59x = 4,046,544.27
  5. Step 5: Solve for x
    x = 4,046,544.27/3,070.59
  6. Step 6: Final answer
    x = 1,317.84

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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.