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Finding the Fourth Proportional to 1,857.24, 2,770.11 and 1,566.66

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Solution

The fourth proportional to 1,857.24, 2,770.11 and 1,566.66 is: 2,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.24 : 2,770.11 = 1,566.66 : x
  2. Step 2: Convert to fraction form
    1,857.24/2,770.11 = 1,566.66/x
  3. Step 3: Cross multiply
    1,857.24x = 2,770.11 × 1,566.66
  4. Step 4: Simplify right side
    1,857.24x = 4,339,820.53
  5. Step 5: Solve for x
    x = 4,339,820.53/1,857.24
  6. Step 6: Final answer
    x = 2,336.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.