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Finding the Fourth Proportional to 3,472.77, 4,792.30 and 1,981.17

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Solution

The fourth proportional to 3,472.77, 4,792.30 and 1,981.17 is: 2,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.77 : 4,792.30 = 1,981.17 : x
  2. Step 2: Convert to fraction form
    3,472.77/4,792.30 = 1,981.17/x
  3. Step 3: Cross multiply
    3,472.77x = 4,792.30 × 1,981.17
  4. Step 4: Simplify right side
    3,472.77x = 9,494,332.08
  5. Step 5: Solve for x
    x = 9,494,332.08/3,472.77
  6. Step 6: Final answer
    x = 2,733.94

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1.5x scale

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.