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Finding the Fourth Proportional to 1,482.50, 2,224.76 and 961.21

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Solution

The fourth proportional to 1,482.50, 2,224.76 and 961.21 is: 1,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.50 : 2,224.76 = 961.21 : x
  2. Step 2: Convert to fraction form
    1,482.50/2,224.76 = 961.21/x
  3. Step 3: Cross multiply
    1,482.50x = 2,224.76 × 961.21
  4. Step 4: Simplify right side
    1,482.50x = 2,138,461.56
  5. Step 5: Solve for x
    x = 2,138,461.56/1,482.50
  6. Step 6: Final answer
    x = 1,442.47

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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.