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Finding the Fourth Proportional to 2,306.01, 3,457.86 and 2,139.28

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Solution

The fourth proportional to 2,306.01, 3,457.86 and 2,139.28 is: 3,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.01 : 3,457.86 = 2,139.28 : x
  2. Step 2: Convert to fraction form
    2,306.01/3,457.86 = 2,139.28/x
  3. Step 3: Cross multiply
    2,306.01x = 3,457.86 × 2,139.28
  4. Step 4: Simplify right side
    2,306.01x = 7,397,330.74
  5. Step 5: Solve for x
    x = 7,397,330.74/2,306.01
  6. Step 6: Final answer
    x = 3,207.85

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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.