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Finding the Fourth Proportional to 3,051.95, 4,211.70 and 1,654.70

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Solution

The fourth proportional to 3,051.95, 4,211.70 and 1,654.70 is: 2,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.95 : 4,211.70 = 1,654.70 : x
  2. Step 2: Convert to fraction form
    3,051.95/4,211.70 = 1,654.70/x
  3. Step 3: Cross multiply
    3,051.95x = 4,211.70 × 1,654.70
  4. Step 4: Simplify right side
    3,051.95x = 6,969,099.99
  5. Step 5: Solve for x
    x = 6,969,099.99/3,051.95
  6. Step 6: Final answer
    x = 2,283.49

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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.