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Finding the Fourth Proportional to 2,637.72, 3,641.76 and 1,643.40

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Solution

The fourth proportional to 2,637.72, 3,641.76 and 1,643.40 is: 2,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.72 : 3,641.76 = 1,643.40 : x
  2. Step 2: Convert to fraction form
    2,637.72/3,641.76 = 1,643.40/x
  3. Step 3: Cross multiply
    2,637.72x = 3,641.76 × 1,643.40
  4. Step 4: Simplify right side
    2,637.72x = 5,984,868.38
  5. Step 5: Solve for x
    x = 5,984,868.38/2,637.72
  6. Step 6: Final answer
    x = 2,268.96

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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.