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Finding the Fourth Proportional to 2,950.43, 4,424.12 and 870.17

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Solution

The fourth proportional to 2,950.43, 4,424.12 and 870.17 is: 1,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.43 : 4,424.12 = 870.17 : x
  2. Step 2: Convert to fraction form
    2,950.43/4,424.12 = 870.17/x
  3. Step 3: Cross multiply
    2,950.43x = 4,424.12 × 870.17
  4. Step 4: Simplify right side
    2,950.43x = 3,849,736.50
  5. Step 5: Solve for x
    x = 3,849,736.50/2,950.43
  6. Step 6: Final answer
    x = 1,304.81

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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.