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Finding the Fourth Proportional to 3,494.81, 4,822.93 and 1,922.91

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Solution

The fourth proportional to 3,494.81, 4,822.93 and 1,922.91 is: 2,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.81 : 4,822.93 = 1,922.91 : x
  2. Step 2: Convert to fraction form
    3,494.81/4,822.93 = 1,922.91/x
  3. Step 3: Cross multiply
    3,494.81x = 4,822.93 × 1,922.91
  4. Step 4: Simplify right side
    3,494.81x = 9,274,033.83
  5. Step 5: Solve for x
    x = 9,274,033.83/3,494.81
  6. Step 6: Final answer
    x = 2,653.66

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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.