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Finding the Fourth Proportional to 2,306.58, 3,457.71 and 1,278.42

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Solution

The fourth proportional to 2,306.58, 3,457.71 and 1,278.42 is: 1,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.58 : 3,457.71 = 1,278.42 : x
  2. Step 2: Convert to fraction form
    2,306.58/3,457.71 = 1,278.42/x
  3. Step 3: Cross multiply
    2,306.58x = 3,457.71 × 1,278.42
  4. Step 4: Simplify right side
    2,306.58x = 4,420,405.62
  5. Step 5: Solve for x
    x = 4,420,405.62/2,306.58
  6. Step 6: Final answer
    x = 1,916.43

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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.