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Finding the Fourth Proportional to 1,831.57, 2,527.57 and 992.28

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Solution

The fourth proportional to 1,831.57, 2,527.57 and 992.28 is: 1,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.57 : 2,527.57 = 992.28 : x
  2. Step 2: Convert to fraction form
    1,831.57/2,527.57 = 992.28/x
  3. Step 3: Cross multiply
    1,831.57x = 2,527.57 × 992.28
  4. Step 4: Simplify right side
    1,831.57x = 2,508,047.12
  5. Step 5: Solve for x
    x = 2,508,047.12/1,831.57
  6. Step 6: Final answer
    x = 1,369.34

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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.