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Finding the Fourth Proportional to 1,831.24, 2,746.29 and 661.09

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Solution

The fourth proportional to 1,831.24, 2,746.29 and 661.09 is: 991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.24 : 2,746.29 = 661.09 : x
  2. Step 2: Convert to fraction form
    1,831.24/2,746.29 = 661.09/x
  3. Step 3: Cross multiply
    1,831.24x = 2,746.29 × 661.09
  4. Step 4: Simplify right side
    1,831.24x = 1,815,544.86
  5. Step 5: Solve for x
    x = 1,815,544.86/1,831.24
  6. Step 6: Final answer
    x = 991.43

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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.