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Finding the Fourth Proportional to 2,508.81, 3,462.05 and 1,374.50

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Solution

The fourth proportional to 2,508.81, 3,462.05 and 1,374.50 is: 1,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.81 : 3,462.05 = 1,374.50 : x
  2. Step 2: Convert to fraction form
    2,508.81/3,462.05 = 1,374.50/x
  3. Step 3: Cross multiply
    2,508.81x = 3,462.05 × 1,374.50
  4. Step 4: Simplify right side
    2,508.81x = 4,758,599.82
  5. Step 5: Solve for x
    x = 4,758,599.82/2,508.81
  6. Step 6: Final answer
    x = 1,896.76

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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.