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Finding the Fourth Proportional to 2,965.32, 4,442.88 and 1,482.54

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Solution

The fourth proportional to 2,965.32, 4,442.88 and 1,482.54 is: 2,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.32 : 4,442.88 = 1,482.54 : x
  2. Step 2: Convert to fraction form
    2,965.32/4,442.88 = 1,482.54/x
  3. Step 3: Cross multiply
    2,965.32x = 4,442.88 × 1,482.54
  4. Step 4: Simplify right side
    2,965.32x = 6,586,747.32
  5. Step 5: Solve for x
    x = 6,586,747.32/2,965.32
  6. Step 6: Final answer
    x = 2,221.26

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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.