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Finding the Fourth Proportional to 3,140.48, 4,707.84 and 1,408.16

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Solution

The fourth proportional to 3,140.48, 4,707.84 and 1,408.16 is: 2,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.48 : 4,707.84 = 1,408.16 : x
  2. Step 2: Convert to fraction form
    3,140.48/4,707.84 = 1,408.16/x
  3. Step 3: Cross multiply
    3,140.48x = 4,707.84 × 1,408.16
  4. Step 4: Simplify right side
    3,140.48x = 6,629,391.97
  5. Step 5: Solve for x
    x = 6,629,391.97/3,140.48
  6. Step 6: Final answer
    x = 2,110.95

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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.