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Finding the Fourth Proportional to 2,643.98, 3,966.02 and 1,001.30

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Solution

The fourth proportional to 2,643.98, 3,966.02 and 1,001.30 is: 1,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.98 : 3,966.02 = 1,001.30 : x
  2. Step 2: Convert to fraction form
    2,643.98/3,966.02 = 1,001.30/x
  3. Step 3: Cross multiply
    2,643.98x = 3,966.02 × 1,001.30
  4. Step 4: Simplify right side
    2,643.98x = 3,971,175.83
  5. Step 5: Solve for x
    x = 3,971,175.83/2,643.98
  6. Step 6: Final answer
    x = 1,501.97

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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.