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Finding the Fourth Proportional to 1,974.63, 2,724.65 and 1,123.74

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Solution

The fourth proportional to 1,974.63, 2,724.65 and 1,123.74 is: 1,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.63 : 2,724.65 = 1,123.74 : x
  2. Step 2: Convert to fraction form
    1,974.63/2,724.65 = 1,123.74/x
  3. Step 3: Cross multiply
    1,974.63x = 2,724.65 × 1,123.74
  4. Step 4: Simplify right side
    1,974.63x = 3,061,803.11
  5. Step 5: Solve for x
    x = 3,061,803.11/1,974.63
  6. Step 6: Final answer
    x = 1,550.57

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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.