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Finding the Fourth Proportional to 3,494.84, 4,822.81 and 1,922.93

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Solution

The fourth proportional to 3,494.84, 4,822.81 and 1,922.93 is: 2,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.84 : 4,822.81 = 1,922.93 : x
  2. Step 2: Convert to fraction form
    3,494.84/4,822.81 = 1,922.93/x
  3. Step 3: Cross multiply
    3,494.84x = 4,822.81 × 1,922.93
  4. Step 4: Simplify right side
    3,494.84x = 9,273,916.42
  5. Step 5: Solve for x
    x = 9,273,916.42/3,494.84
  6. Step 6: Final answer
    x = 2,653.61

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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.