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Finding the Fourth Proportional to 3,070.67, 4,605.22 and 878.90

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Solution

The fourth proportional to 3,070.67, 4,605.22 and 878.90 is: 1,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.67 : 4,605.22 = 878.90 : x
  2. Step 2: Convert to fraction form
    3,070.67/4,605.22 = 878.90/x
  3. Step 3: Cross multiply
    3,070.67x = 4,605.22 × 878.90
  4. Step 4: Simplify right side
    3,070.67x = 4,047,502.63
  5. Step 5: Solve for x
    x = 4,047,502.63/3,070.67
  6. Step 6: Final answer
    x = 1,318.12

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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.