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Finding the Fourth Proportional to 2,480.84, 3,720.24 and 920.94

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Solution

The fourth proportional to 2,480.84, 3,720.24 and 920.94 is: 1,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.84 : 3,720.24 = 920.94 : x
  2. Step 2: Convert to fraction form
    2,480.84/3,720.24 = 920.94/x
  3. Step 3: Cross multiply
    2,480.84x = 3,720.24 × 920.94
  4. Step 4: Simplify right side
    2,480.84x = 3,426,117.83
  5. Step 5: Solve for x
    x = 3,426,117.83/2,480.84
  6. Step 6: Final answer
    x = 1,381.03

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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.