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Finding the Fourth Proportional to 2,776.59, 3,831.62 and 1,517.60

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Solution

The fourth proportional to 2,776.59, 3,831.62 and 1,517.60 is: 2,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.59 : 3,831.62 = 1,517.60 : x
  2. Step 2: Convert to fraction form
    2,776.59/3,831.62 = 1,517.60/x
  3. Step 3: Cross multiply
    2,776.59x = 3,831.62 × 1,517.60
  4. Step 4: Simplify right side
    2,776.59x = 5,814,868.50
  5. Step 5: Solve for x
    x = 5,814,868.50/2,776.59
  6. Step 6: Final answer
    x = 2,094.25

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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.