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Finding the Fourth Proportional to 2,034.24, 2,807.52 and 1,206.24

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Solution

The fourth proportional to 2,034.24, 2,807.52 and 1,206.24 is: 1,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.24 : 2,807.52 = 1,206.24 : x
  2. Step 2: Convert to fraction form
    2,034.24/2,807.52 = 1,206.24/x
  3. Step 3: Cross multiply
    2,034.24x = 2,807.52 × 1,206.24
  4. Step 4: Simplify right side
    2,034.24x = 3,386,542.92
  5. Step 5: Solve for x
    x = 3,386,542.92/2,034.24
  6. Step 6: Final answer
    x = 1,664.77

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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.