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Finding the Fourth Proportional to 2,983.22, 4,116.77 and 1,656.89

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Solution

The fourth proportional to 2,983.22, 4,116.77 and 1,656.89 is: 2,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.22 : 4,116.77 = 1,656.89 : x
  2. Step 2: Convert to fraction form
    2,983.22/4,116.77 = 1,656.89/x
  3. Step 3: Cross multiply
    2,983.22x = 4,116.77 × 1,656.89
  4. Step 4: Simplify right side
    2,983.22x = 6,821,006.18
  5. Step 5: Solve for x
    x = 6,821,006.18/2,983.22
  6. Step 6: Final answer
    x = 2,286.46

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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.