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Finding the Fourth Proportional to 2,071.82, 2,859.18 and 1,140.32

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Solution

The fourth proportional to 2,071.82, 2,859.18 and 1,140.32 is: 1,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.82 : 2,859.18 = 1,140.32 : x
  2. Step 2: Convert to fraction form
    2,071.82/2,859.18 = 1,140.32/x
  3. Step 3: Cross multiply
    2,071.82x = 2,859.18 × 1,140.32
  4. Step 4: Simplify right side
    2,071.82x = 3,260,380.14
  5. Step 5: Solve for x
    x = 3,260,380.14/2,071.82
  6. Step 6: Final answer
    x = 1,573.68

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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.