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Finding the Fourth Proportional to 1,974, 2,724.12 and 1,146.48

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Solution

The fourth proportional to 1,974, 2,724.12 and 1,146.48 is: 1,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974 : 2,724.12 = 1,146.48 : x
  2. Step 2: Convert to fraction form
    1,974/2,724.12 = 1,146.48/x
  3. Step 3: Cross multiply
    1,974x = 2,724.12 × 1,146.48
  4. Step 4: Simplify right side
    1,974x = 3,123,149.10
  5. Step 5: Solve for x
    x = 3,123,149.10/1,974
  6. Step 6: Final answer
    x = 1,582.14

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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.