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Finding the Fourth Proportional to 2,484.81, 3,726.90 and 841.23

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Solution

The fourth proportional to 2,484.81, 3,726.90 and 841.23 is: 1,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.81 : 3,726.90 = 841.23 : x
  2. Step 2: Convert to fraction form
    2,484.81/3,726.90 = 841.23/x
  3. Step 3: Cross multiply
    2,484.81x = 3,726.90 × 841.23
  4. Step 4: Simplify right side
    2,484.81x = 3,135,180.09
  5. Step 5: Solve for x
    x = 3,135,180.09/2,484.81
  6. Step 6: Final answer
    x = 1,261.74

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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.