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Finding the Fourth Proportional to 3,170.26, 4,374.96 and 1,773

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Solution

The fourth proportional to 3,170.26, 4,374.96 and 1,773 is: 2,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.26 : 4,374.96 = 1,773 : x
  2. Step 2: Convert to fraction form
    3,170.26/4,374.96 = 1,773/x
  3. Step 3: Cross multiply
    3,170.26x = 4,374.96 × 1,773
  4. Step 4: Simplify right side
    3,170.26x = 7,756,804.08
  5. Step 5: Solve for x
    x = 7,756,804.08/3,170.26
  6. Step 6: Final answer
    x = 2,446.74

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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.