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Finding the Fourth Proportional to 2,172.05, 3,256.92 and 1,001.45

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Solution

The fourth proportional to 2,172.05, 3,256.92 and 1,001.45 is: 1,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.05 : 3,256.92 = 1,001.45 : x
  2. Step 2: Convert to fraction form
    2,172.05/3,256.92 = 1,001.45/x
  3. Step 3: Cross multiply
    2,172.05x = 3,256.92 × 1,001.45
  4. Step 4: Simplify right side
    2,172.05x = 3,261,642.35
  5. Step 5: Solve for x
    x = 3,261,642.35/2,172.05
  6. Step 6: Final answer
    x = 1,501.64

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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.