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Finding the Fourth Proportional to 2,794.42, 3,857.52 and 1,914.76

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Solution

The fourth proportional to 2,794.42, 3,857.52 and 1,914.76 is: 2,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.42 : 3,857.52 = 1,914.76 : x
  2. Step 2: Convert to fraction form
    2,794.42/3,857.52 = 1,914.76/x
  3. Step 3: Cross multiply
    2,794.42x = 3,857.52 × 1,914.76
  4. Step 4: Simplify right side
    2,794.42x = 7,386,225.00
  5. Step 5: Solve for x
    x = 7,386,225.00/2,794.42
  6. Step 6: Final answer
    x = 2,643.21

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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.