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Finding the Fourth Proportional to 2,016.25, 2,776.06 and 1,831.70

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Solution

The fourth proportional to 2,016.25, 2,776.06 and 1,831.70 is: 2,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.25 : 2,776.06 = 1,831.70 : x
  2. Step 2: Convert to fraction form
    2,016.25/2,776.06 = 1,831.70/x
  3. Step 3: Cross multiply
    2,016.25x = 2,776.06 × 1,831.70
  4. Step 4: Simplify right side
    2,016.25x = 5,084,909.10
  5. Step 5: Solve for x
    x = 5,084,909.10/2,016.25
  6. Step 6: Final answer
    x = 2,521.96

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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.