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Finding the Fourth Proportional to 2,653.68, 3,980.41 and 705.89

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Solution

The fourth proportional to 2,653.68, 3,980.41 and 705.89 is: 1,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.68 : 3,980.41 = 705.89 : x
  2. Step 2: Convert to fraction form
    2,653.68/3,980.41 = 705.89/x
  3. Step 3: Cross multiply
    2,653.68x = 3,980.41 × 705.89
  4. Step 4: Simplify right side
    2,653.68x = 2,809,708.18
  5. Step 5: Solve for x
    x = 2,809,708.18/2,653.68
  6. Step 6: Final answer
    x = 1,058.80

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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.