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Finding the Fourth Proportional to 2,653.62, 3,980.46 and 706.02

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Solution

The fourth proportional to 2,653.62, 3,980.46 and 706.02 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.62 : 3,980.46 = 706.02 : x
  2. Step 2: Convert to fraction form
    2,653.62/3,980.46 = 706.02/x
  3. Step 3: Cross multiply
    2,653.62x = 3,980.46 × 706.02
  4. Step 4: Simplify right side
    2,653.62x = 2,810,284.37
  5. Step 5: Solve for x
    x = 2,810,284.37/2,653.62
  6. Step 6: Final answer
    x = 1,059.04

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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.