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Finding the Fourth Proportional to 1,968.12, 2,952.91 and 871.70

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Solution

The fourth proportional to 1,968.12, 2,952.91 and 871.70 is: 1,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.12 : 2,952.91 = 871.70 : x
  2. Step 2: Convert to fraction form
    1,968.12/2,952.91 = 871.70/x
  3. Step 3: Cross multiply
    1,968.12x = 2,952.91 × 871.70
  4. Step 4: Simplify right side
    1,968.12x = 2,574,051.65
  5. Step 5: Solve for x
    x = 2,574,051.65/1,968.12
  6. Step 6: Final answer
    x = 1,307.87

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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.