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Finding the Fourth Proportional to 1,976.79, 2,947.16 and 1,926.30

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Solution

The fourth proportional to 1,976.79, 2,947.16 and 1,926.30 is: 2,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.79 : 2,947.16 = 1,926.30 : x
  2. Step 2: Convert to fraction form
    1,976.79/2,947.16 = 1,926.30/x
  3. Step 3: Cross multiply
    1,976.79x = 2,947.16 × 1,926.30
  4. Step 4: Simplify right side
    1,976.79x = 5,677,114.31
  5. Step 5: Solve for x
    x = 5,677,114.31/1,976.79
  6. Step 6: Final answer
    x = 2,871.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.