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Finding the Fourth Proportional to 2,270.06, 3,400.64 and 1,565.60

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Solution

The fourth proportional to 2,270.06, 3,400.64 and 1,565.60 is: 2,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.06 : 3,400.64 = 1,565.60 : x
  2. Step 2: Convert to fraction form
    2,270.06/3,400.64 = 1,565.60/x
  3. Step 3: Cross multiply
    2,270.06x = 3,400.64 × 1,565.60
  4. Step 4: Simplify right side
    2,270.06x = 5,324,034.16
  5. Step 5: Solve for x
    x = 5,324,034.16/2,270.06
  6. Step 6: Final answer
    x = 2,345.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.