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Finding the Fourth Proportional to 1,778.29, 2,666.45 and 739.06

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Solution

The fourth proportional to 1,778.29, 2,666.45 and 739.06 is: 1,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.29 : 2,666.45 = 739.06 : x
  2. Step 2: Convert to fraction form
    1,778.29/2,666.45 = 739.06/x
  3. Step 3: Cross multiply
    1,778.29x = 2,666.45 × 739.06
  4. Step 4: Simplify right side
    1,778.29x = 1,970,661.72
  5. Step 5: Solve for x
    x = 1,970,661.72/1,778.29
  6. Step 6: Final answer
    x = 1,108.18

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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.