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Finding the Fourth Proportional to 2,554.47, 3,831.84 and 705.78

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Solution

The fourth proportional to 2,554.47, 3,831.84 and 705.78 is: 1,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.47 : 3,831.84 = 705.78 : x
  2. Step 2: Convert to fraction form
    2,554.47/3,831.84 = 705.78/x
  3. Step 3: Cross multiply
    2,554.47x = 3,831.84 × 705.78
  4. Step 4: Simplify right side
    2,554.47x = 2,704,436.04
  5. Step 5: Solve for x
    x = 2,704,436.04/2,554.47
  6. Step 6: Final answer
    x = 1,058.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.