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Finding the Fourth Proportional to 2,665.06, 3,997.88 and 1,023

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Solution

The fourth proportional to 2,665.06, 3,997.88 and 1,023 is: 1,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.06 : 3,997.88 = 1,023 : x
  2. Step 2: Convert to fraction form
    2,665.06/3,997.88 = 1,023/x
  3. Step 3: Cross multiply
    2,665.06x = 3,997.88 × 1,023
  4. Step 4: Simplify right side
    2,665.06x = 4,089,831.24
  5. Step 5: Solve for x
    x = 4,089,831.24/2,665.06
  6. Step 6: Final answer
    x = 1,534.61

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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.