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Finding the Fourth Proportional to 2,151.99, 2,969.57 and 1,207.59

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Solution

The fourth proportional to 2,151.99, 2,969.57 and 1,207.59 is: 1,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.99 : 2,969.57 = 1,207.59 : x
  2. Step 2: Convert to fraction form
    2,151.99/2,969.57 = 1,207.59/x
  3. Step 3: Cross multiply
    2,151.99x = 2,969.57 × 1,207.59
  4. Step 4: Simplify right side
    2,151.99x = 3,586,017.00
  5. Step 5: Solve for x
    x = 3,586,017.00/2,151.99
  6. Step 6: Final answer
    x = 1,666.37

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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.