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Finding the Fourth Proportional to 2,776.78, 3,831.96 and 1,534.78

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Solution

The fourth proportional to 2,776.78, 3,831.96 and 1,534.78 is: 2,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.78 : 3,831.96 = 1,534.78 : x
  2. Step 2: Convert to fraction form
    2,776.78/3,831.96 = 1,534.78/x
  3. Step 3: Cross multiply
    2,776.78x = 3,831.96 × 1,534.78
  4. Step 4: Simplify right side
    2,776.78x = 5,881,215.57
  5. Step 5: Solve for x
    x = 5,881,215.57/2,776.78
  6. Step 6: Final answer
    x = 2,118.00

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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.