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Finding the Fourth Proportional to 2,306.76, 3,457.26 and 1,152.84

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Solution

The fourth proportional to 2,306.76, 3,457.26 and 1,152.84 is: 1,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.76 : 3,457.26 = 1,152.84 : x
  2. Step 2: Convert to fraction form
    2,306.76/3,457.26 = 1,152.84/x
  3. Step 3: Cross multiply
    2,306.76x = 3,457.26 × 1,152.84
  4. Step 4: Simplify right side
    2,306.76x = 3,985,667.62
  5. Step 5: Solve for x
    x = 3,985,667.62/2,306.76
  6. Step 6: Final answer
    x = 1,727.82

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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.