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Finding the Fourth Proportional to 2,780.87, 3,838.28 and 1,602.63

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Solution

The fourth proportional to 2,780.87, 3,838.28 and 1,602.63 is: 2,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.87 : 3,838.28 = 1,602.63 : x
  2. Step 2: Convert to fraction form
    2,780.87/3,838.28 = 1,602.63/x
  3. Step 3: Cross multiply
    2,780.87x = 3,838.28 × 1,602.63
  4. Step 4: Simplify right side
    2,780.87x = 6,151,334.66
  5. Step 5: Solve for x
    x = 6,151,334.66/2,780.87
  6. Step 6: Final answer
    x = 2,212.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.