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Finding the Fourth Proportional to 4,626.90, 6,944 and 1,707.26

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Solution

The fourth proportional to 4,626.90, 6,944 and 1,707.26 is: 2,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.90 : 6,944 = 1,707.26 : x
  2. Step 2: Convert to fraction form
    4,626.90/6,944 = 1,707.26/x
  3. Step 3: Cross multiply
    4,626.90x = 6,944 × 1,707.26
  4. Step 4: Simplify right side
    4,626.90x = 11,855,178.72
  5. Step 5: Solve for x
    x = 11,855,178.72/4,626.90
  6. Step 6: Final answer
    x = 2,562.23

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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.