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Finding the Fourth Proportional to 3,046.96, 4,547.66 and 2,614.96

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Solution

The fourth proportional to 3,046.96, 4,547.66 and 2,614.96 is: 3,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.96 : 4,547.66 = 2,614.96 : x
  2. Step 2: Convert to fraction form
    3,046.96/4,547.66 = 2,614.96/x
  3. Step 3: Cross multiply
    3,046.96x = 4,547.66 × 2,614.96
  4. Step 4: Simplify right side
    3,046.96x = 11,891,948.99
  5. Step 5: Solve for x
    x = 11,891,948.99/3,046.96
  6. Step 6: Final answer
    x = 3,902.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.