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Finding the Fourth Proportional to 3,170, 4,374.60 and 1,773.02

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Solution

The fourth proportional to 3,170, 4,374.60 and 1,773.02 is: 2,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,374.60 = 1,773.02 : x
  2. Step 2: Convert to fraction form
    3,170/4,374.60 = 1,773.02/x
  3. Step 3: Cross multiply
    3,170x = 4,374.60 × 1,773.02
  4. Step 4: Simplify right side
    3,170x = 7,756,253.29
  5. Step 5: Solve for x
    x = 7,756,253.29/3,170
  6. Step 6: Final answer
    x = 2,446.77

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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.