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Finding the Fourth Proportional to 2,969.01, 4,454.33 and 1,020.96

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Solution

The fourth proportional to 2,969.01, 4,454.33 and 1,020.96 is: 1,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.01 : 4,454.33 = 1,020.96 : x
  2. Step 2: Convert to fraction form
    2,969.01/4,454.33 = 1,020.96/x
  3. Step 3: Cross multiply
    2,969.01x = 4,454.33 × 1,020.96
  4. Step 4: Simplify right side
    2,969.01x = 4,547,687.65
  5. Step 5: Solve for x
    x = 4,547,687.65/2,969.01
  6. Step 6: Final answer
    x = 1,531.72

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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.