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Finding the Fourth Proportional to 2,008.68, 2,770.03 and 1,566.42

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Solution

The fourth proportional to 2,008.68, 2,770.03 and 1,566.42 is: 2,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.68 : 2,770.03 = 1,566.42 : x
  2. Step 2: Convert to fraction form
    2,008.68/2,770.03 = 1,566.42/x
  3. Step 3: Cross multiply
    2,008.68x = 2,770.03 × 1,566.42
  4. Step 4: Simplify right side
    2,008.68x = 4,339,030.39
  5. Step 5: Solve for x
    x = 4,339,030.39/2,008.68
  6. Step 6: Final answer
    x = 2,160.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.