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Finding the Fourth Proportional to 2,896.65, 4,344.91 and 705.39

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Solution

The fourth proportional to 2,896.65, 4,344.91 and 705.39 is: 1,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.65 : 4,344.91 = 705.39 : x
  2. Step 2: Convert to fraction form
    2,896.65/4,344.91 = 705.39/x
  3. Step 3: Cross multiply
    2,896.65x = 4,344.91 × 705.39
  4. Step 4: Simplify right side
    2,896.65x = 3,064,856.06
  5. Step 5: Solve for x
    x = 3,064,856.06/2,896.65
  6. Step 6: Final answer
    x = 1,058.07

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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.