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Finding the Fourth Proportional to 1,680.21, 2,514.90 and 898.25

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Solution

The fourth proportional to 1,680.21, 2,514.90 and 898.25 is: 1,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.21 : 2,514.90 = 898.25 : x
  2. Step 2: Convert to fraction form
    1,680.21/2,514.90 = 898.25/x
  3. Step 3: Cross multiply
    1,680.21x = 2,514.90 × 898.25
  4. Step 4: Simplify right side
    1,680.21x = 2,259,008.93
  5. Step 5: Solve for x
    x = 2,259,008.93/1,680.21
  6. Step 6: Final answer
    x = 1,344.48

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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.