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Finding the Fourth Proportional to 1,880.15, 2,831.22 and 1,363.77

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Solution

The fourth proportional to 1,880.15, 2,831.22 and 1,363.77 is: 2,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.15 : 2,831.22 = 1,363.77 : x
  2. Step 2: Convert to fraction form
    1,880.15/2,831.22 = 1,363.77/x
  3. Step 3: Cross multiply
    1,880.15x = 2,831.22 × 1,363.77
  4. Step 4: Simplify right side
    1,880.15x = 3,861,132.90
  5. Step 5: Solve for x
    x = 3,861,132.90/1,880.15
  6. Step 6: Final answer
    x = 2,053.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.