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Finding the Fourth Proportional to 1,760.76, 2,427.48 and 1,511

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Solution

The fourth proportional to 1,760.76, 2,427.48 and 1,511 is: 2,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.76 : 2,427.48 = 1,511 : x
  2. Step 2: Convert to fraction form
    1,760.76/2,427.48 = 1,511/x
  3. Step 3: Cross multiply
    1,760.76x = 2,427.48 × 1,511
  4. Step 4: Simplify right side
    1,760.76x = 3,667,922.28
  5. Step 5: Solve for x
    x = 3,667,922.28/1,760.76
  6. Step 6: Final answer
    x = 2,083.15

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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.