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Finding the Fourth Proportional to 2,932.02, 4,046.16 and 1,605.74

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Solution

The fourth proportional to 2,932.02, 4,046.16 and 1,605.74 is: 2,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.02 : 4,046.16 = 1,605.74 : x
  2. Step 2: Convert to fraction form
    2,932.02/4,046.16 = 1,605.74/x
  3. Step 3: Cross multiply
    2,932.02x = 4,046.16 × 1,605.74
  4. Step 4: Simplify right side
    2,932.02x = 6,497,060.73
  5. Step 5: Solve for x
    x = 6,497,060.73/2,932.02
  6. Step 6: Final answer
    x = 2,215.90

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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.