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Finding the Fourth Proportional to 2,932.65, 4,046.84 and 1,656.45

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Solution

The fourth proportional to 2,932.65, 4,046.84 and 1,656.45 is: 2,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.65 : 4,046.84 = 1,656.45 : x
  2. Step 2: Convert to fraction form
    2,932.65/4,046.84 = 1,656.45/x
  3. Step 3: Cross multiply
    2,932.65x = 4,046.84 × 1,656.45
  4. Step 4: Simplify right side
    2,932.65x = 6,703,401.22
  5. Step 5: Solve for x
    x = 6,703,401.22/2,932.65
  6. Step 6: Final answer
    x = 2,285.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.