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Finding the Fourth Proportional to 3,441, 4,748.62 and 1,869.12

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Solution

The fourth proportional to 3,441, 4,748.62 and 1,869.12 is: 2,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441 : 4,748.62 = 1,869.12 : x
  2. Step 2: Convert to fraction form
    3,441/4,748.62 = 1,869.12/x
  3. Step 3: Cross multiply
    3,441x = 4,748.62 × 1,869.12
  4. Step 4: Simplify right side
    3,441x = 8,875,740.61
  5. Step 5: Solve for x
    x = 8,875,740.61/3,441
  6. Step 6: Final answer
    x = 2,579.41

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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.