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Finding the Fourth Proportional to 1,865.76, 2,797.71 and 1,086.02

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Solution

The fourth proportional to 1,865.76, 2,797.71 and 1,086.02 is: 1,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.76 : 2,797.71 = 1,086.02 : x
  2. Step 2: Convert to fraction form
    1,865.76/2,797.71 = 1,086.02/x
  3. Step 3: Cross multiply
    1,865.76x = 2,797.71 × 1,086.02
  4. Step 4: Simplify right side
    1,865.76x = 3,038,369.01
  5. Step 5: Solve for x
    x = 3,038,369.01/1,865.76
  6. Step 6: Final answer
    x = 1,628.49

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Why These Related Problems?

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