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Finding the Fourth Proportional to 2,473.84, 3,710.94 and 831.52

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Solution

The fourth proportional to 2,473.84, 3,710.94 and 831.52 is: 1,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.84 : 3,710.94 = 831.52 : x
  2. Step 2: Convert to fraction form
    2,473.84/3,710.94 = 831.52/x
  3. Step 3: Cross multiply
    2,473.84x = 3,710.94 × 831.52
  4. Step 4: Simplify right side
    2,473.84x = 3,085,720.83
  5. Step 5: Solve for x
    x = 3,085,720.83/2,473.84
  6. Step 6: Final answer
    x = 1,247.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.