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Finding the Fourth Proportional to 2,637.84, 3,639.85 and 2,241.10

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Solution

The fourth proportional to 2,637.84, 3,639.85 and 2,241.10 is: 3,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.84 : 3,639.85 = 2,241.10 : x
  2. Step 2: Convert to fraction form
    2,637.84/3,639.85 = 2,241.10/x
  3. Step 3: Cross multiply
    2,637.84x = 3,639.85 × 2,241.10
  4. Step 4: Simplify right side
    2,637.84x = 8,157,267.84
  5. Step 5: Solve for x
    x = 8,157,267.84/2,637.84
  6. Step 6: Final answer
    x = 3,092.40

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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.