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Finding the Fourth Proportional to 1,831.10, 2,568.40 and 1,831.10

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Solution

The fourth proportional to 1,831.10, 2,568.40 and 1,831.10 is: 2,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.10 : 2,568.40 = 1,831.10 : x
  2. Step 2: Convert to fraction form
    1,831.10/2,568.40 = 1,831.10/x
  3. Step 3: Cross multiply
    1,831.10x = 2,568.40 × 1,831.10
  4. Step 4: Simplify right side
    1,831.10x = 4,702,997.24
  5. Step 5: Solve for x
    x = 4,702,997.24/1,831.10
  6. Step 6: Final answer
    x = 2,568.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.