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Finding the Fourth Proportional to 2,073.62, 3,107.82 and 975.56

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Solution

The fourth proportional to 2,073.62, 3,107.82 and 975.56 is: 1,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.62 : 3,107.82 = 975.56 : x
  2. Step 2: Convert to fraction form
    2,073.62/3,107.82 = 975.56/x
  3. Step 3: Cross multiply
    2,073.62x = 3,107.82 × 975.56
  4. Step 4: Simplify right side
    2,073.62x = 3,031,864.88
  5. Step 5: Solve for x
    x = 3,031,864.88/2,073.62
  6. Step 6: Final answer
    x = 1,462.11

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