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Finding the Fourth Proportional to 1,865.88, 2,796.06 and 1,247.46

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Solution

The fourth proportional to 1,865.88, 2,796.06 and 1,247.46 is: 1,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.88 : 2,796.06 = 1,247.46 : x
  2. Step 2: Convert to fraction form
    1,865.88/2,796.06 = 1,247.46/x
  3. Step 3: Cross multiply
    1,865.88x = 2,796.06 × 1,247.46
  4. Step 4: Simplify right side
    1,865.88x = 3,487,973.01
  5. Step 5: Solve for x
    x = 3,487,973.01/1,865.88
  6. Step 6: Final answer
    x = 1,869.34

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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.