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Finding the Fourth Proportional to 3,311.76, 4,968.84 and 1,003.26

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Solution

The fourth proportional to 3,311.76, 4,968.84 and 1,003.26 is: 1,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.76 : 4,968.84 = 1,003.26 : x
  2. Step 2: Convert to fraction form
    3,311.76/4,968.84 = 1,003.26/x
  3. Step 3: Cross multiply
    3,311.76x = 4,968.84 × 1,003.26
  4. Step 4: Simplify right side
    3,311.76x = 4,985,038.42
  5. Step 5: Solve for x
    x = 4,985,038.42/3,311.76
  6. Step 6: Final answer
    x = 1,505.25

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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.