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Finding the Fourth Proportional to 3,064.93, 4,230.82 and 1,946.49

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Solution

The fourth proportional to 3,064.93, 4,230.82 and 1,946.49 is: 2,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.93 : 4,230.82 = 1,946.49 : x
  2. Step 2: Convert to fraction form
    3,064.93/4,230.82 = 1,946.49/x
  3. Step 3: Cross multiply
    3,064.93x = 4,230.82 × 1,946.49
  4. Step 4: Simplify right side
    3,064.93x = 8,235,235.63
  5. Step 5: Solve for x
    x = 8,235,235.63/3,064.93
  6. Step 6: Final answer
    x = 2,686.92

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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.