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Finding the Fourth Proportional to 2,653.67, 3,980.57 and 705.92

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Solution

The fourth proportional to 2,653.67, 3,980.57 and 705.92 is: 1,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.67 : 3,980.57 = 705.92 : x
  2. Step 2: Convert to fraction form
    2,653.67/3,980.57 = 705.92/x
  3. Step 3: Cross multiply
    2,653.67x = 3,980.57 × 705.92
  4. Step 4: Simplify right side
    2,653.67x = 2,809,963.97
  5. Step 5: Solve for x
    x = 2,809,963.97/2,653.67
  6. Step 6: Final answer
    x = 1,058.90

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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.