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Finding the Fourth Proportional to 2,952.70, 4,429.05 and 2,542.30

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Solution

The fourth proportional to 2,952.70, 4,429.05 and 2,542.30 is: 3,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.70 : 4,429.05 = 2,542.30 : x
  2. Step 2: Convert to fraction form
    2,952.70/4,429.05 = 2,542.30/x
  3. Step 3: Cross multiply
    2,952.70x = 4,429.05 × 2,542.30
  4. Step 4: Simplify right side
    2,952.70x = 11,259,973.82
  5. Step 5: Solve for x
    x = 11,259,973.82/2,952.70
  6. Step 6: Final answer
    x = 3,813.45

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1.5x scale

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.