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Finding the Fourth Proportional to 2,172.56, 2,996.60 and 1,509.57

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Solution

The fourth proportional to 2,172.56, 2,996.60 and 1,509.57 is: 2,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.56 : 2,996.60 = 1,509.57 : x
  2. Step 2: Convert to fraction form
    2,172.56/2,996.60 = 1,509.57/x
  3. Step 3: Cross multiply
    2,172.56x = 2,996.60 × 1,509.57
  4. Step 4: Simplify right side
    2,172.56x = 4,523,569.91
  5. Step 5: Solve for x
    x = 4,523,569.91/2,172.56
  6. Step 6: Final answer
    x = 2,082.14

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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.