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Finding the Fourth Proportional to 1,680.40, 2,521 and 987.64

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Solution

The fourth proportional to 1,680.40, 2,521 and 987.64 is: 1,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.40 : 2,521 = 987.64 : x
  2. Step 2: Convert to fraction form
    1,680.40/2,521 = 987.64/x
  3. Step 3: Cross multiply
    1,680.40x = 2,521 × 987.64
  4. Step 4: Simplify right side
    1,680.40x = 2,489,840.44
  5. Step 5: Solve for x
    x = 2,489,840.44/1,680.40
  6. Step 6: Final answer
    x = 1,481.70

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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.