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Finding the Fourth Proportional to 2,895.20, 4,340.14 and 946.40

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Solution

The fourth proportional to 2,895.20, 4,340.14 and 946.40 is: 1,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.20 : 4,340.14 = 946.40 : x
  2. Step 2: Convert to fraction form
    2,895.20/4,340.14 = 946.40/x
  3. Step 3: Cross multiply
    2,895.20x = 4,340.14 × 946.40
  4. Step 4: Simplify right side
    2,895.20x = 4,107,508.50
  5. Step 5: Solve for x
    x = 4,107,508.50/2,895.20
  6. Step 6: Final answer
    x = 1,418.73

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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.