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Finding the Fourth Proportional to 2,064.90, 2,853.18 and 1,626.30

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Solution

The fourth proportional to 2,064.90, 2,853.18 and 1,626.30 is: 2,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.90 : 2,853.18 = 1,626.30 : x
  2. Step 2: Convert to fraction form
    2,064.90/2,853.18 = 1,626.30/x
  3. Step 3: Cross multiply
    2,064.90x = 2,853.18 × 1,626.30
  4. Step 4: Simplify right side
    2,064.90x = 4,640,126.63
  5. Step 5: Solve for x
    x = 4,640,126.63/2,064.90
  6. Step 6: Final answer
    x = 2,247.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.