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Finding the Fourth Proportional to 2,484.88, 3,725.70 and 1,663.72

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Solution

The fourth proportional to 2,484.88, 3,725.70 and 1,663.72 is: 2,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.88 : 3,725.70 = 1,663.72 : x
  2. Step 2: Convert to fraction form
    2,484.88/3,725.70 = 1,663.72/x
  3. Step 3: Cross multiply
    2,484.88x = 3,725.70 × 1,663.72
  4. Step 4: Simplify right side
    2,484.88x = 6,198,521.60
  5. Step 5: Solve for x
    x = 6,198,521.60/2,484.88
  6. Step 6: Final answer
    x = 2,494.50

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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.