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Finding the Fourth Proportional to 1,946.39, 2,686.02 and 1,062.21

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Solution

The fourth proportional to 1,946.39, 2,686.02 and 1,062.21 is: 1,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.39 : 2,686.02 = 1,062.21 : x
  2. Step 2: Convert to fraction form
    1,946.39/2,686.02 = 1,062.21/x
  3. Step 3: Cross multiply
    1,946.39x = 2,686.02 × 1,062.21
  4. Step 4: Simplify right side
    1,946.39x = 2,853,107.23
  5. Step 5: Solve for x
    x = 2,853,107.23/1,946.39
  6. Step 6: Final answer
    x = 1,465.85

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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.