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Finding the Fourth Proportional to 3,170.42, 4,372.50 and 1,911.20

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Solution

The fourth proportional to 3,170.42, 4,372.50 and 1,911.20 is: 2,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.42 : 4,372.50 = 1,911.20 : x
  2. Step 2: Convert to fraction form
    3,170.42/4,372.50 = 1,911.20/x
  3. Step 3: Cross multiply
    3,170.42x = 4,372.50 × 1,911.20
  4. Step 4: Simplify right side
    3,170.42x = 8,356,701.51
  5. Step 5: Solve for x
    x = 8,356,701.51/3,170.42
  6. Step 6: Final answer
    x = 2,635.84

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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.