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Finding the Fourth Proportional to 3,069.02, 4,235 and 1,742.48

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Solution

The fourth proportional to 3,069.02, 4,235 and 1,742.48 is: 2,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.02 : 4,235 = 1,742.48 : x
  2. Step 2: Convert to fraction form
    3,069.02/4,235 = 1,742.48/x
  3. Step 3: Cross multiply
    3,069.02x = 4,235 × 1,742.48
  4. Step 4: Simplify right side
    3,069.02x = 7,379,402.80
  5. Step 5: Solve for x
    x = 7,379,402.80/3,069.02
  6. Step 6: Final answer
    x = 2,404.48

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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.