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Finding the Fourth Proportional to 2,510.62, 3,766.54 and 779.26

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Solution

The fourth proportional to 2,510.62, 3,766.54 and 779.26 is: 1,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.62 : 3,766.54 = 779.26 : x
  2. Step 2: Convert to fraction form
    2,510.62/3,766.54 = 779.26/x
  3. Step 3: Cross multiply
    2,510.62x = 3,766.54 × 779.26
  4. Step 4: Simplify right side
    2,510.62x = 2,935,113.96
  5. Step 5: Solve for x
    x = 2,935,113.96/2,510.62
  6. Step 6: Final answer
    x = 1,169.08

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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.