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Finding the Fourth Proportional to 1,540.62, 2,307.29 and 1,213.79

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Solution

The fourth proportional to 1,540.62, 2,307.29 and 1,213.79 is: 1,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.62 : 2,307.29 = 1,213.79 : x
  2. Step 2: Convert to fraction form
    1,540.62/2,307.29 = 1,213.79/x
  3. Step 3: Cross multiply
    1,540.62x = 2,307.29 × 1,213.79
  4. Step 4: Simplify right side
    1,540.62x = 2,800,547.92
  5. Step 5: Solve for x
    x = 2,800,547.92/1,540.62
  6. Step 6: Final answer
    x = 1,817.81

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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.