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Finding the Fourth Proportional to 1,952.26, 2,927.73 and 565.13

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Solution

The fourth proportional to 1,952.26, 2,927.73 and 565.13 is: 847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.26 : 2,927.73 = 565.13 : x
  2. Step 2: Convert to fraction form
    1,952.26/2,927.73 = 565.13/x
  3. Step 3: Cross multiply
    1,952.26x = 2,927.73 × 565.13
  4. Step 4: Simplify right side
    1,952.26x = 1,654,548.05
  5. Step 5: Solve for x
    x = 1,654,548.05/1,952.26
  6. Step 6: Final answer
    x = 847.50

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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.