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Finding the Fourth Proportional to 2,767.68, 4,151.48 and 1,307.88

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Solution

The fourth proportional to 2,767.68, 4,151.48 and 1,307.88 is: 1,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.68 : 4,151.48 = 1,307.88 : x
  2. Step 2: Convert to fraction form
    2,767.68/4,151.48 = 1,307.88/x
  3. Step 3: Cross multiply
    2,767.68x = 4,151.48 × 1,307.88
  4. Step 4: Simplify right side
    2,767.68x = 5,429,631.12
  5. Step 5: Solve for x
    x = 5,429,631.12/2,767.68
  6. Step 6: Final answer
    x = 1,961.80

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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.