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Finding the Fourth Proportional to 2,306.46, 3,459.70 and 919.70

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Solution

The fourth proportional to 2,306.46, 3,459.70 and 919.70 is: 1,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.46 : 3,459.70 = 919.70 : x
  2. Step 2: Convert to fraction form
    2,306.46/3,459.70 = 919.70/x
  3. Step 3: Cross multiply
    2,306.46x = 3,459.70 × 919.70
  4. Step 4: Simplify right side
    2,306.46x = 3,181,886.09
  5. Step 5: Solve for x
    x = 3,181,886.09/2,306.46
  6. Step 6: Final answer
    x = 1,379.55

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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.