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Finding the Fourth Proportional to 2,476.10, 3,712.80 and 831.80

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Solution

The fourth proportional to 2,476.10, 3,712.80 and 831.80 is: 1,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.10 : 3,712.80 = 831.80 : x
  2. Step 2: Convert to fraction form
    2,476.10/3,712.80 = 831.80/x
  3. Step 3: Cross multiply
    2,476.10x = 3,712.80 × 831.80
  4. Step 4: Simplify right side
    2,476.10x = 3,088,307.04
  5. Step 5: Solve for x
    x = 3,088,307.04/2,476.10
  6. Step 6: Final answer
    x = 1,247.25

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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.