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Finding the Fourth Proportional to 2,467.02, 3,701.98 and 985.98

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Solution

The fourth proportional to 2,467.02, 3,701.98 and 985.98 is: 1,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.02 : 3,701.98 = 985.98 : x
  2. Step 2: Convert to fraction form
    2,467.02/3,701.98 = 985.98/x
  3. Step 3: Cross multiply
    2,467.02x = 3,701.98 × 985.98
  4. Step 4: Simplify right side
    2,467.02x = 3,650,078.24
  5. Step 5: Solve for x
    x = 3,650,078.24/2,467.02
  6. Step 6: Final answer
    x = 1,479.55

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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.