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Finding the Fourth Proportional to 2,981.84, 4,472.76 and 930

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Solution

The fourth proportional to 2,981.84, 4,472.76 and 930 is: 1,395

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.84 : 4,472.76 = 930 : x
  2. Step 2: Convert to fraction form
    2,981.84/4,472.76 = 930/x
  3. Step 3: Cross multiply
    2,981.84x = 4,472.76 × 930
  4. Step 4: Simplify right side
    2,981.84x = 4,159,666.80
  5. Step 5: Solve for x
    x = 4,159,666.80/2,981.84
  6. Step 6: Final answer
    x = 1,395

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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.