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Finding the Fourth Proportional to 2,071.78, 3,101.55 and 1,590.46

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Solution

The fourth proportional to 2,071.78, 3,101.55 and 1,590.46 is: 2,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 3,101.55 = 1,590.46 : x
  2. Step 2: Convert to fraction form
    2,071.78/3,101.55 = 1,590.46/x
  3. Step 3: Cross multiply
    2,071.78x = 3,101.55 × 1,590.46
  4. Step 4: Simplify right side
    2,071.78x = 4,932,891.21
  5. Step 5: Solve for x
    x = 4,932,891.21/2,071.78
  6. Step 6: Final answer
    x = 2,380.99

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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.