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Finding the Fourth Proportional to 4,156.94, 6,230.01 and 1,688.89

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Solution

The fourth proportional to 4,156.94, 6,230.01 and 1,688.89 is: 2,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.94 : 6,230.01 = 1,688.89 : x
  2. Step 2: Convert to fraction form
    4,156.94/6,230.01 = 1,688.89/x
  3. Step 3: Cross multiply
    4,156.94x = 6,230.01 × 1,688.89
  4. Step 4: Simplify right side
    4,156.94x = 10,521,770.44
  5. Step 5: Solve for x
    x = 10,521,770.44/4,156.94
  6. Step 6: Final answer
    x = 2,531.14

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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.