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Finding the Fourth Proportional to 2,484.08, 3,726.07 and 2,096.57

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Solution

The fourth proportional to 2,484.08, 3,726.07 and 2,096.57 is: 3,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.08 : 3,726.07 = 2,096.57 : x
  2. Step 2: Convert to fraction form
    2,484.08/3,726.07 = 2,096.57/x
  3. Step 3: Cross multiply
    2,484.08x = 3,726.07 × 2,096.57
  4. Step 4: Simplify right side
    2,484.08x = 7,811,966.58
  5. Step 5: Solve for x
    x = 7,811,966.58/2,484.08
  6. Step 6: Final answer
    x = 3,144.81

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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.