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Finding the Fourth Proportional to 2,071.80, 3,109.71 and 976.92

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Solution

The fourth proportional to 2,071.80, 3,109.71 and 976.92 is: 1,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.80 : 3,109.71 = 976.92 : x
  2. Step 2: Convert to fraction form
    2,071.80/3,109.71 = 976.92/x
  3. Step 3: Cross multiply
    2,071.80x = 3,109.71 × 976.92
  4. Step 4: Simplify right side
    2,071.80x = 3,037,937.89
  5. Step 5: Solve for x
    x = 3,037,937.89/2,071.80
  6. Step 6: Final answer
    x = 1,466.33

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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.