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Finding the Fourth Proportional to 2,306.12, 3,459.06 and 845.16

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Solution

The fourth proportional to 2,306.12, 3,459.06 and 845.16 is: 1,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.12 : 3,459.06 = 845.16 : x
  2. Step 2: Convert to fraction form
    2,306.12/3,459.06 = 845.16/x
  3. Step 3: Cross multiply
    2,306.12x = 3,459.06 × 845.16
  4. Step 4: Simplify right side
    2,306.12x = 2,923,459.15
  5. Step 5: Solve for x
    x = 2,923,459.15/2,306.12
  6. Step 6: Final answer
    x = 1,267.70

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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.