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Finding the Fourth Proportional to 1,947.71, 2,920.84 and 777.36

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Solution

The fourth proportional to 1,947.71, 2,920.84 and 777.36 is: 1,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.71 : 2,920.84 = 777.36 : x
  2. Step 2: Convert to fraction form
    1,947.71/2,920.84 = 777.36/x
  3. Step 3: Cross multiply
    1,947.71x = 2,920.84 × 777.36
  4. Step 4: Simplify right side
    1,947.71x = 2,270,532.99
  5. Step 5: Solve for x
    x = 2,270,532.99/1,947.71
  6. Step 6: Final answer
    x = 1,165.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.