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Finding the Fourth Proportional to 1,818.67, 2,726.37 and 830.47

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Solution

The fourth proportional to 1,818.67, 2,726.37 and 830.47 is: 1,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.67 : 2,726.37 = 830.47 : x
  2. Step 2: Convert to fraction form
    1,818.67/2,726.37 = 830.47/x
  3. Step 3: Cross multiply
    1,818.67x = 2,726.37 × 830.47
  4. Step 4: Simplify right side
    1,818.67x = 2,264,168.49
  5. Step 5: Solve for x
    x = 2,264,168.49/1,818.67
  6. Step 6: Final answer
    x = 1,244.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.