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Finding the Fourth Proportional to 2,298.49, 3,447.90 and 655.17

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Solution

The fourth proportional to 2,298.49, 3,447.90 and 655.17 is: 982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.49 : 3,447.90 = 655.17 : x
  2. Step 2: Convert to fraction form
    2,298.49/3,447.90 = 655.17/x
  3. Step 3: Cross multiply
    2,298.49x = 3,447.90 × 655.17
  4. Step 4: Simplify right side
    2,298.49x = 2,258,960.64
  5. Step 5: Solve for x
    x = 2,258,960.64/2,298.49
  6. Step 6: Final answer
    x = 982.80

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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.