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Finding the Fourth Proportional to 1,818.17, 2,726.90 and 585.28

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Solution

The fourth proportional to 1,818.17, 2,726.90 and 585.28 is: 877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.17 : 2,726.90 = 585.28 : x
  2. Step 2: Convert to fraction form
    1,818.17/2,726.90 = 585.28/x
  3. Step 3: Cross multiply
    1,818.17x = 2,726.90 × 585.28
  4. Step 4: Simplify right side
    1,818.17x = 1,596,000.03
  5. Step 5: Solve for x
    x = 1,596,000.03/1,818.17
  6. Step 6: Final answer
    x = 877.81

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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.