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Finding the Fourth Proportional to 1,866.92, 2,576.48 and 1,121

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Solution

The fourth proportional to 1,866.92, 2,576.48 and 1,121 is: 1,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.92 : 2,576.48 = 1,121 : x
  2. Step 2: Convert to fraction form
    1,866.92/2,576.48 = 1,121/x
  3. Step 3: Cross multiply
    1,866.92x = 2,576.48 × 1,121
  4. Step 4: Simplify right side
    1,866.92x = 2,888,234.08
  5. Step 5: Solve for x
    x = 2,888,234.08/1,866.92
  6. Step 6: Final answer
    x = 1,547.06

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Why These Related Problems?

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