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Finding the Fourth Proportional to 2,008.42, 2,770.06 and 1,535.14

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Solution

The fourth proportional to 2,008.42, 2,770.06 and 1,535.14 is: 2,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.42 : 2,770.06 = 1,535.14 : x
  2. Step 2: Convert to fraction form
    2,008.42/2,770.06 = 1,535.14/x
  3. Step 3: Cross multiply
    2,008.42x = 2,770.06 × 1,535.14
  4. Step 4: Simplify right side
    2,008.42x = 4,252,429.91
  5. Step 5: Solve for x
    x = 4,252,429.91/2,008.42
  6. Step 6: Final answer
    x = 2,117.30

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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.