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Finding the Fourth Proportional to 2,071.51, 3,103.34 and 961.84

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Solution

The fourth proportional to 2,071.51, 3,103.34 and 961.84 is: 1,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.51 : 3,103.34 = 961.84 : x
  2. Step 2: Convert to fraction form
    2,071.51/3,103.34 = 961.84/x
  3. Step 3: Cross multiply
    2,071.51x = 3,103.34 × 961.84
  4. Step 4: Simplify right side
    2,071.51x = 2,984,916.55
  5. Step 5: Solve for x
    x = 2,984,916.55/2,071.51
  6. Step 6: Final answer
    x = 1,440.94

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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.