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Finding the Fourth Proportional to 3,051.68, 4,211.36 and 1,654.42

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Solution

The fourth proportional to 3,051.68, 4,211.36 and 1,654.42 is: 2,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.68 : 4,211.36 = 1,654.42 : x
  2. Step 2: Convert to fraction form
    3,051.68/4,211.36 = 1,654.42/x
  3. Step 3: Cross multiply
    3,051.68x = 4,211.36 × 1,654.42
  4. Step 4: Simplify right side
    3,051.68x = 6,967,358.21
  5. Step 5: Solve for x
    x = 6,967,358.21/3,051.68
  6. Step 6: Final answer
    x = 2,283.12

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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.