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Finding the Fourth Proportional to 1,947.80, 2,922.18 and 715.88

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Solution

The fourth proportional to 1,947.80, 2,922.18 and 715.88 is: 1,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.80 : 2,922.18 = 715.88 : x
  2. Step 2: Convert to fraction form
    1,947.80/2,922.18 = 715.88/x
  3. Step 3: Cross multiply
    1,947.80x = 2,922.18 × 715.88
  4. Step 4: Simplify right side
    1,947.80x = 2,091,930.22
  5. Step 5: Solve for x
    x = 2,091,930.22/1,947.80
  6. Step 6: Final answer
    x = 1,074.00

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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.