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Finding the Fourth Proportional to 2,306.30, 3,459.98 and 662.86

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Solution

The fourth proportional to 2,306.30, 3,459.98 and 662.86 is: 994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.30 : 3,459.98 = 662.86 : x
  2. Step 2: Convert to fraction form
    2,306.30/3,459.98 = 662.86/x
  3. Step 3: Cross multiply
    2,306.30x = 3,459.98 × 662.86
  4. Step 4: Simplify right side
    2,306.30x = 2,293,482.34
  5. Step 5: Solve for x
    x = 2,293,482.34/2,306.30
  6. Step 6: Final answer
    x = 994.44

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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.