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Finding the Fourth Proportional to 2,064.95, 3,098.48 and 1,372.09

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Solution

The fourth proportional to 2,064.95, 3,098.48 and 1,372.09 is: 2,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.95 : 3,098.48 = 1,372.09 : x
  2. Step 2: Convert to fraction form
    2,064.95/3,098.48 = 1,372.09/x
  3. Step 3: Cross multiply
    2,064.95x = 3,098.48 × 1,372.09
  4. Step 4: Simplify right side
    2,064.95x = 4,251,393.42
  5. Step 5: Solve for x
    x = 4,251,393.42/2,064.95
  6. Step 6: Final answer
    x = 2,058.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.