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Finding the Fourth Proportional to 2,806.84, 3,870.40 and 1,921.24

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Solution

The fourth proportional to 2,806.84, 3,870.40 and 1,921.24 is: 2,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.84 : 3,870.40 = 1,921.24 : x
  2. Step 2: Convert to fraction form
    2,806.84/3,870.40 = 1,921.24/x
  3. Step 3: Cross multiply
    2,806.84x = 3,870.40 × 1,921.24
  4. Step 4: Simplify right side
    2,806.84x = 7,435,967.30
  5. Step 5: Solve for x
    x = 7,435,967.30/2,806.84
  6. Step 6: Final answer
    x = 2,649.23

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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.