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Finding the Fourth Proportional to 2,298.23, 3,447.88 and 654.80

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Solution

The fourth proportional to 2,298.23, 3,447.88 and 654.80 is: 982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.23 : 3,447.88 = 654.80 : x
  2. Step 2: Convert to fraction form
    2,298.23/3,447.88 = 654.80/x
  3. Step 3: Cross multiply
    2,298.23x = 3,447.88 × 654.80
  4. Step 4: Simplify right side
    2,298.23x = 2,257,664.84
  5. Step 5: Solve for x
    x = 2,257,664.84/2,298.23
  6. Step 6: Final answer
    x = 982.35

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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.