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Finding the Fourth Proportional to 2,645.32, 3,967.02 and 1,001.02

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Solution

The fourth proportional to 2,645.32, 3,967.02 and 1,001.02 is: 1,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.32 : 3,967.02 = 1,001.02 : x
  2. Step 2: Convert to fraction form
    2,645.32/3,967.02 = 1,001.02/x
  3. Step 3: Cross multiply
    2,645.32x = 3,967.02 × 1,001.02
  4. Step 4: Simplify right side
    2,645.32x = 3,971,066.36
  5. Step 5: Solve for x
    x = 3,971,066.36/2,645.32
  6. Step 6: Final answer
    x = 1,501.17

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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.