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Finding the Fourth Proportional to 2,902.66, 4,005.38 and 1,643.74

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Solution

The fourth proportional to 2,902.66, 4,005.38 and 1,643.74 is: 2,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.66 : 4,005.38 = 1,643.74 : x
  2. Step 2: Convert to fraction form
    2,902.66/4,005.38 = 1,643.74/x
  3. Step 3: Cross multiply
    2,902.66x = 4,005.38 × 1,643.74
  4. Step 4: Simplify right side
    2,902.66x = 6,583,797.42
  5. Step 5: Solve for x
    x = 6,583,797.42/2,902.66
  6. Step 6: Final answer
    x = 2,268.20

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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.