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Finding the Fourth Proportional to 2,172.67, 3,256.56 and 1,077.82

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Solution

The fourth proportional to 2,172.67, 3,256.56 and 1,077.82 is: 1,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.67 : 3,256.56 = 1,077.82 : x
  2. Step 2: Convert to fraction form
    2,172.67/3,256.56 = 1,077.82/x
  3. Step 3: Cross multiply
    2,172.67x = 3,256.56 × 1,077.82
  4. Step 4: Simplify right side
    2,172.67x = 3,509,985.50
  5. Step 5: Solve for x
    x = 3,509,985.50/2,172.67
  6. Step 6: Final answer
    x = 1,615.52

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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.