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Finding the Fourth Proportional to 2,124.99, 2,932.61 and 1,229.06

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Solution

The fourth proportional to 2,124.99, 2,932.61 and 1,229.06 is: 1,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.99 : 2,932.61 = 1,229.06 : x
  2. Step 2: Convert to fraction form
    2,124.99/2,932.61 = 1,229.06/x
  3. Step 3: Cross multiply
    2,124.99x = 2,932.61 × 1,229.06
  4. Step 4: Simplify right side
    2,124.99x = 3,604,354.83
  5. Step 5: Solve for x
    x = 3,604,354.83/2,124.99
  6. Step 6: Final answer
    x = 1,696.17

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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.