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Finding the Fourth Proportional to 2,587.72, 3,571.00 and 1,408.78

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Solution

The fourth proportional to 2,587.72, 3,571.00 and 1,408.78 is: 1,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.72 : 3,571.00 = 1,408.78 : x
  2. Step 2: Convert to fraction form
    2,587.72/3,571.00 = 1,408.78/x
  3. Step 3: Cross multiply
    2,587.72x = 3,571.00 × 1,408.78
  4. Step 4: Simplify right side
    2,587.72x = 5,030,746.34
  5. Step 5: Solve for x
    x = 5,030,746.34/2,587.72
  6. Step 6: Final answer
    x = 1,944.09

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