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Finding the Fourth Proportional to 1,729.65, 2,594.40 and 951.18

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Solution

The fourth proportional to 1,729.65, 2,594.40 and 951.18 is: 1,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.65 : 2,594.40 = 951.18 : x
  2. Step 2: Convert to fraction form
    1,729.65/2,594.40 = 951.18/x
  3. Step 3: Cross multiply
    1,729.65x = 2,594.40 × 951.18
  4. Step 4: Simplify right side
    1,729.65x = 2,467,728.10
  5. Step 5: Solve for x
    x = 2,467,728.10/1,729.65
  6. Step 6: Final answer
    x = 1,426.72

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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.