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Finding the Fourth Proportional to 3,403.76, 4,697.19 and 2,078.46

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Solution

The fourth proportional to 3,403.76, 4,697.19 and 2,078.46 is: 2,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.76 : 4,697.19 = 2,078.46 : x
  2. Step 2: Convert to fraction form
    3,403.76/4,697.19 = 2,078.46/x
  3. Step 3: Cross multiply
    3,403.76x = 4,697.19 × 2,078.46
  4. Step 4: Simplify right side
    3,403.76x = 9,762,921.53
  5. Step 5: Solve for x
    x = 9,762,921.53/3,403.76
  6. Step 6: Final answer
    x = 2,868.28

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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.