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Finding the Fourth Proportional to 1,680.62, 2,319.03 and 971.87

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Solution

The fourth proportional to 1,680.62, 2,319.03 and 971.87 is: 1,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.62 : 2,319.03 = 971.87 : x
  2. Step 2: Convert to fraction form
    1,680.62/2,319.03 = 971.87/x
  3. Step 3: Cross multiply
    1,680.62x = 2,319.03 × 971.87
  4. Step 4: Simplify right side
    1,680.62x = 2,253,784.09
  5. Step 5: Solve for x
    x = 2,253,784.09/1,680.62
  6. Step 6: Final answer
    x = 1,341.05

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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.