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Finding the Fourth Proportional to 3,124.95, 4,312.26 and 1,831.80

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Solution

The fourth proportional to 3,124.95, 4,312.26 and 1,831.80 is: 2,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.95 : 4,312.26 = 1,831.80 : x
  2. Step 2: Convert to fraction form
    3,124.95/4,312.26 = 1,831.80/x
  3. Step 3: Cross multiply
    3,124.95x = 4,312.26 × 1,831.80
  4. Step 4: Simplify right side
    3,124.95x = 7,899,197.87
  5. Step 5: Solve for x
    x = 7,899,197.87/3,124.95
  6. Step 6: Final answer
    x = 2,527.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.