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Finding the Fourth Proportional to 1,474.19, 2,034.57 and 951.74

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Solution

The fourth proportional to 1,474.19, 2,034.57 and 951.74 is: 1,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.19 : 2,034.57 = 951.74 : x
  2. Step 2: Convert to fraction form
    1,474.19/2,034.57 = 951.74/x
  3. Step 3: Cross multiply
    1,474.19x = 2,034.57 × 951.74
  4. Step 4: Simplify right side
    1,474.19x = 1,936,381.65
  5. Step 5: Solve for x
    x = 1,936,381.65/1,474.19
  6. Step 6: Final answer
    x = 1,313.52

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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.