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Finding the Fourth Proportional to 3,310.68, 4,966.74 and 1,002.36

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Solution

The fourth proportional to 3,310.68, 4,966.74 and 1,002.36 is: 1,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.68 : 4,966.74 = 1,002.36 : x
  2. Step 2: Convert to fraction form
    3,310.68/4,966.74 = 1,002.36/x
  3. Step 3: Cross multiply
    3,310.68x = 4,966.74 × 1,002.36
  4. Step 4: Simplify right side
    3,310.68x = 4,978,461.51
  5. Step 5: Solve for x
    x = 4,978,461.51/3,310.68
  6. Step 6: Final answer
    x = 1,503.76

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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.