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Finding the Fourth Proportional to 2,952.96, 4,075.71 and 1,694.22

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Solution

The fourth proportional to 2,952.96, 4,075.71 and 1,694.22 is: 2,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.96 : 4,075.71 = 1,694.22 : x
  2. Step 2: Convert to fraction form
    2,952.96/4,075.71 = 1,694.22/x
  3. Step 3: Cross multiply
    2,952.96x = 4,075.71 × 1,694.22
  4. Step 4: Simplify right side
    2,952.96x = 6,905,149.40
  5. Step 5: Solve for x
    x = 6,905,149.40/2,952.96
  6. Step 6: Final answer
    x = 2,338.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.