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Finding the Fourth Proportional to 2,286.28, 3,155.02 and 1,291.60

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Solution

The fourth proportional to 2,286.28, 3,155.02 and 1,291.60 is: 1,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.28 : 3,155.02 = 1,291.60 : x
  2. Step 2: Convert to fraction form
    2,286.28/3,155.02 = 1,291.60/x
  3. Step 3: Cross multiply
    2,286.28x = 3,155.02 × 1,291.60
  4. Step 4: Simplify right side
    2,286.28x = 4,075,001.60
  5. Step 5: Solve for x
    x = 4,075,001.60/2,286.28
  6. Step 6: Final answer
    x = 1,782.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.