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Finding the Fourth Proportional to 2,134.78, 2,945.14 and 1,576.58

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Solution

The fourth proportional to 2,134.78, 2,945.14 and 1,576.58 is: 2,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.78 : 2,945.14 = 1,576.58 : x
  2. Step 2: Convert to fraction form
    2,134.78/2,945.14 = 1,576.58/x
  3. Step 3: Cross multiply
    2,134.78x = 2,945.14 × 1,576.58
  4. Step 4: Simplify right side
    2,134.78x = 4,643,248.82
  5. Step 5: Solve for x
    x = 4,643,248.82/2,134.78
  6. Step 6: Final answer
    x = 2,175.05

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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.