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Finding the Fourth Proportional to 2,657, 3,667.62 and 1,831.40

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Solution

The fourth proportional to 2,657, 3,667.62 and 1,831.40 is: 2,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657 : 3,667.62 = 1,831.40 : x
  2. Step 2: Convert to fraction form
    2,657/3,667.62 = 1,831.40/x
  3. Step 3: Cross multiply
    2,657x = 3,667.62 × 1,831.40
  4. Step 4: Simplify right side
    2,657x = 6,716,879.27
  5. Step 5: Solve for x
    x = 6,716,879.27/2,657
  6. Step 6: Final answer
    x = 2,527.99

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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.