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Finding the Fourth Proportional to 2,896.32, 4,344.42 and 705.06

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Solution

The fourth proportional to 2,896.32, 4,344.42 and 705.06 is: 1,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.32 : 4,344.42 = 705.06 : x
  2. Step 2: Convert to fraction form
    2,896.32/4,344.42 = 705.06/x
  3. Step 3: Cross multiply
    2,896.32x = 4,344.42 × 705.06
  4. Step 4: Simplify right side
    2,896.32x = 3,063,076.77
  5. Step 5: Solve for x
    x = 3,063,076.77/2,896.32
  6. Step 6: Final answer
    x = 1,057.58

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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.