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Finding the Fourth Proportional to 1,831.14, 2,744.64 and 952.29

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Solution

The fourth proportional to 1,831.14, 2,744.64 and 952.29 is: 1,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.14 : 2,744.64 = 952.29 : x
  2. Step 2: Convert to fraction form
    1,831.14/2,744.64 = 952.29/x
  3. Step 3: Cross multiply
    1,831.14x = 2,744.64 × 952.29
  4. Step 4: Simplify right side
    1,831.14x = 2,613,693.23
  5. Step 5: Solve for x
    x = 2,613,693.23/1,831.14
  6. Step 6: Final answer
    x = 1,427.36

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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.