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Finding the Fourth Proportional to 3,143.90, 4,712.19 and 1,408.88

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Solution

The fourth proportional to 3,143.90, 4,712.19 and 1,408.88 is: 2,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.90 : 4,712.19 = 1,408.88 : x
  2. Step 2: Convert to fraction form
    3,143.90/4,712.19 = 1,408.88/x
  3. Step 3: Cross multiply
    3,143.90x = 4,712.19 × 1,408.88
  4. Step 4: Simplify right side
    3,143.90x = 6,638,886.69
  5. Step 5: Solve for x
    x = 6,638,886.69/3,143.90
  6. Step 6: Final answer
    x = 2,111.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.