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Finding the Fourth Proportional to 2,467.71, 3,701.58 and 1,005.84

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Solution

The fourth proportional to 2,467.71, 3,701.58 and 1,005.84 is: 1,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.71 : 3,701.58 = 1,005.84 : x
  2. Step 2: Convert to fraction form
    2,467.71/3,701.58 = 1,005.84/x
  3. Step 3: Cross multiply
    2,467.71x = 3,701.58 × 1,005.84
  4. Step 4: Simplify right side
    2,467.71x = 3,723,197.23
  5. Step 5: Solve for x
    x = 3,723,197.23/2,467.71
  6. Step 6: Final answer
    x = 1,508.77

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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.