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Finding the Fourth Proportional to 3,301.84, 4,953.84 and 1,657.54

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Solution

The fourth proportional to 3,301.84, 4,953.84 and 1,657.54 is: 2,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.84 : 4,953.84 = 1,657.54 : x
  2. Step 2: Convert to fraction form
    3,301.84/4,953.84 = 1,657.54/x
  3. Step 3: Cross multiply
    3,301.84x = 4,953.84 × 1,657.54
  4. Step 4: Simplify right side
    3,301.84x = 8,211,187.95
  5. Step 5: Solve for x
    x = 8,211,187.95/3,301.84
  6. Step 6: Final answer
    x = 2,486.85

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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.