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Finding the Fourth Proportional to 2,400.88, 3,601.66 and 841.04

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Solution

The fourth proportional to 2,400.88, 3,601.66 and 841.04 is: 1,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.88 : 3,601.66 = 841.04 : x
  2. Step 2: Convert to fraction form
    2,400.88/3,601.66 = 841.04/x
  3. Step 3: Cross multiply
    2,400.88x = 3,601.66 × 841.04
  4. Step 4: Simplify right side
    2,400.88x = 3,029,140.13
  5. Step 5: Solve for x
    x = 3,029,140.13/2,400.88
  6. Step 6: Final answer
    x = 1,261.68

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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.