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Finding the Fourth Proportional to 1,474.69, 2,035.26 and 952.24

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Solution

The fourth proportional to 1,474.69, 2,035.26 and 952.24 is: 1,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.69 : 2,035.26 = 952.24 : x
  2. Step 2: Convert to fraction form
    1,474.69/2,035.26 = 952.24/x
  3. Step 3: Cross multiply
    1,474.69x = 2,035.26 × 952.24
  4. Step 4: Simplify right side
    1,474.69x = 1,938,055.98
  5. Step 5: Solve for x
    x = 1,938,055.98/1,474.69
  6. Step 6: Final answer
    x = 1,314.21

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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.