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Finding the Fourth Proportional to 3,051.80, 4,211.50 and 1,654.55

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Solution

The fourth proportional to 3,051.80, 4,211.50 and 1,654.55 is: 2,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.80 : 4,211.50 = 1,654.55 : x
  2. Step 2: Convert to fraction form
    3,051.80/4,211.50 = 1,654.55/x
  3. Step 3: Cross multiply
    3,051.80x = 4,211.50 × 1,654.55
  4. Step 4: Simplify right side
    3,051.80x = 6,968,143.72
  5. Step 5: Solve for x
    x = 6,968,143.72/3,051.80
  6. Step 6: Final answer
    x = 2,283.29

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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.