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Finding the Fourth Proportional to 1,930.56, 2,665.62 and 1,269.06

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Solution

The fourth proportional to 1,930.56, 2,665.62 and 1,269.06 is: 1,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.56 : 2,665.62 = 1,269.06 : x
  2. Step 2: Convert to fraction form
    1,930.56/2,665.62 = 1,269.06/x
  3. Step 3: Cross multiply
    1,930.56x = 2,665.62 × 1,269.06
  4. Step 4: Simplify right side
    1,930.56x = 3,382,831.72
  5. Step 5: Solve for x
    x = 3,382,831.72/1,930.56
  6. Step 6: Final answer
    x = 1,752.25

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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.