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Finding the Fourth Proportional to 1,866.88, 2,576.10 and 1,080.78

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Solution

The fourth proportional to 1,866.88, 2,576.10 and 1,080.78 is: 1,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.88 : 2,576.10 = 1,080.78 : x
  2. Step 2: Convert to fraction form
    1,866.88/2,576.10 = 1,080.78/x
  3. Step 3: Cross multiply
    1,866.88x = 2,576.10 × 1,080.78
  4. Step 4: Simplify right side
    1,866.88x = 2,784,197.36
  5. Step 5: Solve for x
    x = 2,784,197.36/1,866.88
  6. Step 6: Final answer
    x = 1,491.36

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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.