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Finding the Fourth Proportional to 2,896.40, 4,344.60 and 705.13

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Solution

The fourth proportional to 2,896.40, 4,344.60 and 705.13 is: 1,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.40 : 4,344.60 = 705.13 : x
  2. Step 2: Convert to fraction form
    2,896.40/4,344.60 = 705.13/x
  3. Step 3: Cross multiply
    2,896.40x = 4,344.60 × 705.13
  4. Step 4: Simplify right side
    2,896.40x = 3,063,507.80
  5. Step 5: Solve for x
    x = 3,063,507.80/2,896.40
  6. Step 6: Final answer
    x = 1,057.70

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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.