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Finding the Fourth Proportional to 2,645.59, 3,964.27 and 1,001.25

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Solution

The fourth proportional to 2,645.59, 3,964.27 and 1,001.25 is: 1,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.59 : 3,964.27 = 1,001.25 : x
  2. Step 2: Convert to fraction form
    2,645.59/3,964.27 = 1,001.25/x
  3. Step 3: Cross multiply
    2,645.59x = 3,964.27 × 1,001.25
  4. Step 4: Simplify right side
    2,645.59x = 3,969,225.34
  5. Step 5: Solve for x
    x = 3,969,225.34/2,645.59
  6. Step 6: Final answer
    x = 1,500.32

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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.