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Finding the Fourth Proportional to 2,298.12, 3,447.18 and 654.70

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Solution

The fourth proportional to 2,298.12, 3,447.18 and 654.70 is: 982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.12 : 3,447.18 = 654.70 : x
  2. Step 2: Convert to fraction form
    2,298.12/3,447.18 = 654.70/x
  3. Step 3: Cross multiply
    2,298.12x = 3,447.18 × 654.70
  4. Step 4: Simplify right side
    2,298.12x = 2,256,868.75
  5. Step 5: Solve for x
    x = 2,256,868.75/2,298.12
  6. Step 6: Final answer
    x = 982.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.