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Finding the Fourth Proportional to 3,153.69, 4,352.18 and 1,827.85

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Solution

The fourth proportional to 3,153.69, 4,352.18 and 1,827.85 is: 2,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.69 : 4,352.18 = 1,827.85 : x
  2. Step 2: Convert to fraction form
    3,153.69/4,352.18 = 1,827.85/x
  3. Step 3: Cross multiply
    3,153.69x = 4,352.18 × 1,827.85
  4. Step 4: Simplify right side
    3,153.69x = 7,955,123.07
  5. Step 5: Solve for x
    x = 7,955,123.07/3,153.69
  6. Step 6: Final answer
    x = 2,522.48

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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.