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Finding the Fourth Proportional to 3,186.74, 4,397.56 and 1,770.53

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Solution

The fourth proportional to 3,186.74, 4,397.56 and 1,770.53 is: 2,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.74 : 4,397.56 = 1,770.53 : x
  2. Step 2: Convert to fraction form
    3,186.74/4,397.56 = 1,770.53/x
  3. Step 3: Cross multiply
    3,186.74x = 4,397.56 × 1,770.53
  4. Step 4: Simplify right side
    3,186.74x = 7,785,985.49
  5. Step 5: Solve for x
    x = 7,785,985.49/3,186.74
  6. Step 6: Final answer
    x = 2,443.24

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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.