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Finding the Fourth Proportional to 2,071.85, 2,859.44 and 1,188

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Solution

The fourth proportional to 2,071.85, 2,859.44 and 1,188 is: 1,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.85 : 2,859.44 = 1,188 : x
  2. Step 2: Convert to fraction form
    2,071.85/2,859.44 = 1,188/x
  3. Step 3: Cross multiply
    2,071.85x = 2,859.44 × 1,188
  4. Step 4: Simplify right side
    2,071.85x = 3,397,008.78
  5. Step 5: Solve for x
    x = 3,397,008.78/2,071.85
  6. Step 6: Final answer
    x = 1,639.61

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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.