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Finding the Fourth Proportional to 2,588.11, 3,572.76 and 1,738.81

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Solution

The fourth proportional to 2,588.11, 3,572.76 and 1,738.81 is: 2,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.11 : 3,572.76 = 1,738.81 : x
  2. Step 2: Convert to fraction form
    2,588.11/3,572.76 = 1,738.81/x
  3. Step 3: Cross multiply
    2,588.11x = 3,572.76 × 1,738.81
  4. Step 4: Simplify right side
    2,588.11x = 6,212,350.82
  5. Step 5: Solve for x
    x = 6,212,350.82/2,588.11
  6. Step 6: Final answer
    x = 2,400.34

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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.