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Finding the Fourth Proportional to 2,172.79, 2,999.72 and 1,428.04

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Solution

The fourth proportional to 2,172.79, 2,999.72 and 1,428.04 is: 1,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.79 : 2,999.72 = 1,428.04 : x
  2. Step 2: Convert to fraction form
    2,172.79/2,999.72 = 1,428.04/x
  3. Step 3: Cross multiply
    2,172.79x = 2,999.72 × 1,428.04
  4. Step 4: Simplify right side
    2,172.79x = 4,283,720.15
  5. Step 5: Solve for x
    x = 4,283,720.15/2,172.79
  6. Step 6: Final answer
    x = 1,971.53

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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.