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Finding the Fourth Proportional to 3,494.93, 4,822.96 and 1,901.57

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Solution

The fourth proportional to 3,494.93, 4,822.96 and 1,901.57 is: 2,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.93 : 4,822.96 = 1,901.57 : x
  2. Step 2: Convert to fraction form
    3,494.93/4,822.96 = 1,901.57/x
  3. Step 3: Cross multiply
    3,494.93x = 4,822.96 × 1,901.57
  4. Step 4: Simplify right side
    3,494.93x = 9,171,186.54
  5. Step 5: Solve for x
    x = 9,171,186.54/3,494.93
  6. Step 6: Final answer
    x = 2,624.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.