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Finding the Fourth Proportional to 2,554.62, 3,831.90 and 705.75

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Solution

The fourth proportional to 2,554.62, 3,831.90 and 705.75 is: 1,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.62 : 3,831.90 = 705.75 : x
  2. Step 2: Convert to fraction form
    2,554.62/3,831.90 = 705.75/x
  3. Step 3: Cross multiply
    2,554.62x = 3,831.90 × 705.75
  4. Step 4: Simplify right side
    2,554.62x = 2,704,363.43
  5. Step 5: Solve for x
    x = 2,704,363.43/2,554.62
  6. Step 6: Final answer
    x = 1,058.62

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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.