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Finding the Fourth Proportional to 3,397.66, 4,688.42 and 1,980.97

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Solution

The fourth proportional to 3,397.66, 4,688.42 and 1,980.97 is: 2,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.66 : 4,688.42 = 1,980.97 : x
  2. Step 2: Convert to fraction form
    3,397.66/4,688.42 = 1,980.97/x
  3. Step 3: Cross multiply
    3,397.66x = 4,688.42 × 1,980.97
  4. Step 4: Simplify right side
    3,397.66x = 9,287,597.74
  5. Step 5: Solve for x
    x = 9,287,597.74/3,397.66
  6. Step 6: Final answer
    x = 2,733.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.