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Finding the Fourth Proportional to 3,111.62, 4,663.56 and 2,070.68

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Solution

The fourth proportional to 3,111.62, 4,663.56 and 2,070.68 is: 3,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.62 : 4,663.56 = 2,070.68 : x
  2. Step 2: Convert to fraction form
    3,111.62/4,663.56 = 2,070.68/x
  3. Step 3: Cross multiply
    3,111.62x = 4,663.56 × 2,070.68
  4. Step 4: Simplify right side
    3,111.62x = 9,656,740.42
  5. Step 5: Solve for x
    x = 9,656,740.42/3,111.62
  6. Step 6: Final answer
    x = 3,103.44

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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.