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Finding the Fourth Proportional to 2,270.67, 3,404.15 and 1,175.35

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Solution

The fourth proportional to 2,270.67, 3,404.15 and 1,175.35 is: 1,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.67 : 3,404.15 = 1,175.35 : x
  2. Step 2: Convert to fraction form
    2,270.67/3,404.15 = 1,175.35/x
  3. Step 3: Cross multiply
    2,270.67x = 3,404.15 × 1,175.35
  4. Step 4: Simplify right side
    2,270.67x = 4,001,044.81
  5. Step 5: Solve for x
    x = 4,001,044.81/2,270.67
  6. Step 6: Final answer
    x = 1,762.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.