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Finding the Fourth Proportional to 2,484.37, 3,726.54 and 635.48

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Solution

The fourth proportional to 2,484.37, 3,726.54 and 635.48 is: 953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.37 : 3,726.54 = 635.48 : x
  2. Step 2: Convert to fraction form
    2,484.37/3,726.54 = 635.48/x
  3. Step 3: Cross multiply
    2,484.37x = 3,726.54 × 635.48
  4. Step 4: Simplify right side
    2,484.37x = 2,368,123.01
  5. Step 5: Solve for x
    x = 2,368,123.01/2,484.37
  6. Step 6: Final answer
    x = 953.21

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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.