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Finding the Fourth Proportional to 1,951.80, 2,926.98 and 718.89

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Solution

The fourth proportional to 1,951.80, 2,926.98 and 718.89 is: 1,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.80 : 2,926.98 = 718.89 : x
  2. Step 2: Convert to fraction form
    1,951.80/2,926.98 = 718.89/x
  3. Step 3: Cross multiply
    1,951.80x = 2,926.98 × 718.89
  4. Step 4: Simplify right side
    1,951.80x = 2,104,176.65
  5. Step 5: Solve for x
    x = 2,104,176.65/1,951.80
  6. Step 6: Final answer
    x = 1,078.07

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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.