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Finding the Fourth Proportional to 2,511.71, 3,466.19 and 1,392.66

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Solution

The fourth proportional to 2,511.71, 3,466.19 and 1,392.66 is: 1,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.71 : 3,466.19 = 1,392.66 : x
  2. Step 2: Convert to fraction form
    2,511.71/3,466.19 = 1,392.66/x
  3. Step 3: Cross multiply
    2,511.71x = 3,466.19 × 1,392.66
  4. Step 4: Simplify right side
    2,511.71x = 4,827,240.65
  5. Step 5: Solve for x
    x = 4,827,240.65/2,511.71
  6. Step 6: Final answer
    x = 1,921.89

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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.