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Finding the Fourth Proportional to 1,680.35, 2,518.09 and 899.71

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Solution

The fourth proportional to 1,680.35, 2,518.09 and 899.71 is: 1,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.35 : 2,518.09 = 899.71 : x
  2. Step 2: Convert to fraction form
    1,680.35/2,518.09 = 899.71/x
  3. Step 3: Cross multiply
    1,680.35x = 2,518.09 × 899.71
  4. Step 4: Simplify right side
    1,680.35x = 2,265,542.21
  5. Step 5: Solve for x
    x = 2,265,542.21/1,680.35
  6. Step 6: Final answer
    x = 1,348.26

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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.