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Finding the Fourth Proportional to 1,468.15, 2,027.01 and 1,043.71

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Solution

The fourth proportional to 1,468.15, 2,027.01 and 1,043.71 is: 1,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.15 : 2,027.01 = 1,043.71 : x
  2. Step 2: Convert to fraction form
    1,468.15/2,027.01 = 1,043.71/x
  3. Step 3: Cross multiply
    1,468.15x = 2,027.01 × 1,043.71
  4. Step 4: Simplify right side
    1,468.15x = 2,115,610.61
  5. Step 5: Solve for x
    x = 2,115,610.61/1,468.15
  6. Step 6: Final answer
    x = 1,441.00

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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.