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Finding the Fourth Proportional to 2,298.34, 3,447.48 and 654.88

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Solution

The fourth proportional to 2,298.34, 3,447.48 and 654.88 is: 982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.34 : 3,447.48 = 654.88 : x
  2. Step 2: Convert to fraction form
    2,298.34/3,447.48 = 654.88/x
  3. Step 3: Cross multiply
    2,298.34x = 3,447.48 × 654.88
  4. Step 4: Simplify right side
    2,298.34x = 2,257,685.70
  5. Step 5: Solve for x
    x = 2,257,685.70/2,298.34
  6. Step 6: Final answer
    x = 982.31

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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.