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Finding the Fourth Proportional to 3,051.76, 4,211.42 and 1,654.50

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Solution

The fourth proportional to 3,051.76, 4,211.42 and 1,654.50 is: 2,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.76 : 4,211.42 = 1,654.50 : x
  2. Step 2: Convert to fraction form
    3,051.76/4,211.42 = 1,654.50/x
  3. Step 3: Cross multiply
    3,051.76x = 4,211.42 × 1,654.50
  4. Step 4: Simplify right side
    3,051.76x = 6,967,794.39
  5. Step 5: Solve for x
    x = 6,967,794.39/3,051.76
  6. Step 6: Final answer
    x = 2,283.21

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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.