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Finding the Fourth Proportional to 1,680.80, 2,319.57 and 972.68

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Solution

The fourth proportional to 1,680.80, 2,319.57 and 972.68 is: 1,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.80 : 2,319.57 = 972.68 : x
  2. Step 2: Convert to fraction form
    1,680.80/2,319.57 = 972.68/x
  3. Step 3: Cross multiply
    1,680.80x = 2,319.57 × 972.68
  4. Step 4: Simplify right side
    1,680.80x = 2,256,187.75
  5. Step 5: Solve for x
    x = 2,256,187.75/1,680.80
  6. Step 6: Final answer
    x = 1,342.33

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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.