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Finding the Fourth Proportional to 2,842.40, 4,264.12 and 968.48

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Solution

The fourth proportional to 2,842.40, 4,264.12 and 968.48 is: 1,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.40 : 4,264.12 = 968.48 : x
  2. Step 2: Convert to fraction form
    2,842.40/4,264.12 = 968.48/x
  3. Step 3: Cross multiply
    2,842.40x = 4,264.12 × 968.48
  4. Step 4: Simplify right side
    2,842.40x = 4,129,714.94
  5. Step 5: Solve for x
    x = 4,129,714.94/2,842.40
  6. Step 6: Final answer
    x = 1,452.90

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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.