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Finding the Fourth Proportional to 2,478, 3,717.12 and 654

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Solution

The fourth proportional to 2,478, 3,717.12 and 654 is: 981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478 : 3,717.12 = 654 : x
  2. Step 2: Convert to fraction form
    2,478/3,717.12 = 654/x
  3. Step 3: Cross multiply
    2,478x = 3,717.12 × 654
  4. Step 4: Simplify right side
    2,478x = 2,430,996.48
  5. Step 5: Solve for x
    x = 2,430,996.48/2,478
  6. Step 6: Final answer
    x = 981.03

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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.