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Finding the Fourth Proportional to 2,259.76, 3,121.48 and 2,050.16

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Solution

The fourth proportional to 2,259.76, 3,121.48 and 2,050.16 is: 2,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.76 : 3,121.48 = 2,050.16 : x
  2. Step 2: Convert to fraction form
    2,259.76/3,121.48 = 2,050.16/x
  3. Step 3: Cross multiply
    2,259.76x = 3,121.48 × 2,050.16
  4. Step 4: Simplify right side
    2,259.76x = 6,399,533.44
  5. Step 5: Solve for x
    x = 6,399,533.44/2,259.76
  6. Step 6: Final answer
    x = 2,831.95

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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.