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Finding the Fourth Proportional to 2,559.24, 3,841.56 and 1,831.32

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Solution

The fourth proportional to 2,559.24, 3,841.56 and 1,831.32 is: 2,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.24 : 3,841.56 = 1,831.32 : x
  2. Step 2: Convert to fraction form
    2,559.24/3,841.56 = 1,831.32/x
  3. Step 3: Cross multiply
    2,559.24x = 3,841.56 × 1,831.32
  4. Step 4: Simplify right side
    2,559.24x = 7,035,125.66
  5. Step 5: Solve for x
    x = 7,035,125.66/2,559.24
  6. Step 6: Final answer
    x = 2,748.91

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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.