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Finding the Fourth Proportional to 2,348.90, 3,519.51 and 1,424.76

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Solution

The fourth proportional to 2,348.90, 3,519.51 and 1,424.76 is: 2,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.90 : 3,519.51 = 1,424.76 : x
  2. Step 2: Convert to fraction form
    2,348.90/3,519.51 = 1,424.76/x
  3. Step 3: Cross multiply
    2,348.90x = 3,519.51 × 1,424.76
  4. Step 4: Simplify right side
    2,348.90x = 5,014,451.72
  5. Step 5: Solve for x
    x = 5,014,451.72/2,348.90
  6. Step 6: Final answer
    x = 2,134.81

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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.