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Finding the Fourth Proportional to 2,903.14, 4,006.01 and 1,643.99

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Solution

The fourth proportional to 2,903.14, 4,006.01 and 1,643.99 is: 2,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.14 : 4,006.01 = 1,643.99 : x
  2. Step 2: Convert to fraction form
    2,903.14/4,006.01 = 1,643.99/x
  3. Step 3: Cross multiply
    2,903.14x = 4,006.01 × 1,643.99
  4. Step 4: Simplify right side
    2,903.14x = 6,585,832.16
  5. Step 5: Solve for x
    x = 6,585,832.16/2,903.14
  6. Step 6: Final answer
    x = 2,268.52

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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.