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Finding the Fourth Proportional to 1,767.69, 2,439.18 and 1,021.55

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Solution

The fourth proportional to 1,767.69, 2,439.18 and 1,021.55 is: 1,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.69 : 2,439.18 = 1,021.55 : x
  2. Step 2: Convert to fraction form
    1,767.69/2,439.18 = 1,021.55/x
  3. Step 3: Cross multiply
    1,767.69x = 2,439.18 × 1,021.55
  4. Step 4: Simplify right side
    1,767.69x = 2,491,732.13
  5. Step 5: Solve for x
    x = 2,491,732.13/1,767.69
  6. Step 6: Final answer
    x = 1,409.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.