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Finding the Fourth Proportional to 2,983.04, 4,116.52 and 1,656.68

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Solution

The fourth proportional to 2,983.04, 4,116.52 and 1,656.68 is: 2,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.04 : 4,116.52 = 1,656.68 : x
  2. Step 2: Convert to fraction form
    2,983.04/4,116.52 = 1,656.68/x
  3. Step 3: Cross multiply
    2,983.04x = 4,116.52 × 1,656.68
  4. Step 4: Simplify right side
    2,983.04x = 6,819,756.35
  5. Step 5: Solve for x
    x = 6,819,756.35/2,983.04
  6. Step 6: Final answer
    x = 2,286.18

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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.