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Finding the Fourth Proportional to 4,188.67, 6,285.42 and 1,880.17

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Solution

The fourth proportional to 4,188.67, 6,285.42 and 1,880.17 is: 2,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.67 : 6,285.42 = 1,880.17 : x
  2. Step 2: Convert to fraction form
    4,188.67/6,285.42 = 1,880.17/x
  3. Step 3: Cross multiply
    4,188.67x = 6,285.42 × 1,880.17
  4. Step 4: Simplify right side
    4,188.67x = 11,817,642.41
  5. Step 5: Solve for x
    x = 11,817,642.41/4,188.67
  6. Step 6: Final answer
    x = 2,821.34

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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.