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Finding the Fourth Proportional to 2,588.64, 3,571.38 and 1,468.93

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Solution

The fourth proportional to 2,588.64, 3,571.38 and 1,468.93 is: 2,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.64 : 3,571.38 = 1,468.93 : x
  2. Step 2: Convert to fraction form
    2,588.64/3,571.38 = 1,468.93/x
  3. Step 3: Cross multiply
    2,588.64x = 3,571.38 × 1,468.93
  4. Step 4: Simplify right side
    2,588.64x = 5,246,101.97
  5. Step 5: Solve for x
    x = 5,246,101.97/2,588.64
  6. Step 6: Final answer
    x = 2,026.59

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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.