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Finding the Fourth Proportional to 2,043.48, 3,065.28 and 974.69

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Solution

The fourth proportional to 2,043.48, 3,065.28 and 974.69 is: 1,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.48 : 3,065.28 = 974.69 : x
  2. Step 2: Convert to fraction form
    2,043.48/3,065.28 = 974.69/x
  3. Step 3: Cross multiply
    2,043.48x = 3,065.28 × 974.69
  4. Step 4: Simplify right side
    2,043.48x = 2,987,682.44
  5. Step 5: Solve for x
    x = 2,987,682.44/2,043.48
  6. Step 6: Final answer
    x = 1,462.06

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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.