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Finding the Fourth Proportional to 3,165.40, 4,746.24 and 1,519.70

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Solution

The fourth proportional to 3,165.40, 4,746.24 and 1,519.70 is: 2,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.40 : 4,746.24 = 1,519.70 : x
  2. Step 2: Convert to fraction form
    3,165.40/4,746.24 = 1,519.70/x
  3. Step 3: Cross multiply
    3,165.40x = 4,746.24 × 1,519.70
  4. Step 4: Simplify right side
    3,165.40x = 7,212,860.93
  5. Step 5: Solve for x
    x = 7,212,860.93/3,165.40
  6. Step 6: Final answer
    x = 2,278.66

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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.