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Finding the Fourth Proportional to 2,810.76, 4,218.57 and 1,838.04

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Solution

The fourth proportional to 2,810.76, 4,218.57 and 1,838.04 is: 2,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.76 : 4,218.57 = 1,838.04 : x
  2. Step 2: Convert to fraction form
    2,810.76/4,218.57 = 1,838.04/x
  3. Step 3: Cross multiply
    2,810.76x = 4,218.57 × 1,838.04
  4. Step 4: Simplify right side
    2,810.76x = 7,753,900.40
  5. Step 5: Solve for x
    x = 7,753,900.40/2,810.76
  6. Step 6: Final answer
    x = 2,758.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.