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Finding the Fourth Proportional to 2,776.46, 3,831.56 and 1,657.18

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Solution

The fourth proportional to 2,776.46, 3,831.56 and 1,657.18 is: 2,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.46 : 3,831.56 = 1,657.18 : x
  2. Step 2: Convert to fraction form
    2,776.46/3,831.56 = 1,657.18/x
  3. Step 3: Cross multiply
    2,776.46x = 3,831.56 × 1,657.18
  4. Step 4: Simplify right side
    2,776.46x = 6,349,557.16
  5. Step 5: Solve for x
    x = 6,349,557.16/2,776.46
  6. Step 6: Final answer
    x = 2,286.93

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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.