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Finding the Fourth Proportional to 2,172.53, 2,999.36 and 1,427.78

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Solution

The fourth proportional to 2,172.53, 2,999.36 and 1,427.78 is: 1,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.53 : 2,999.36 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    2,172.53/2,999.36 = 1,427.78/x
  3. Step 3: Cross multiply
    2,172.53x = 2,999.36 × 1,427.78
  4. Step 4: Simplify right side
    2,172.53x = 4,282,426.22
  5. Step 5: Solve for x
    x = 4,282,426.22/2,172.53
  6. Step 6: Final answer
    x = 1,971.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.