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Finding the Fourth Proportional to 2,587.62, 3,570.99 and 1,408.71

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Solution

The fourth proportional to 2,587.62, 3,570.99 and 1,408.71 is: 1,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.62 : 3,570.99 = 1,408.71 : x
  2. Step 2: Convert to fraction form
    2,587.62/3,570.99 = 1,408.71/x
  3. Step 3: Cross multiply
    2,587.62x = 3,570.99 × 1,408.71
  4. Step 4: Simplify right side
    2,587.62x = 5,030,489.32
  5. Step 5: Solve for x
    x = 5,030,489.32/2,587.62
  6. Step 6: Final answer
    x = 1,944.06

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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.