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Finding the Fourth Proportional to 3,135.07, 4,702.24 and 943.80

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Solution

The fourth proportional to 3,135.07, 4,702.24 and 943.80 is: 1,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.07 : 4,702.24 = 943.80 : x
  2. Step 2: Convert to fraction form
    3,135.07/4,702.24 = 943.80/x
  3. Step 3: Cross multiply
    3,135.07x = 4,702.24 × 943.80
  4. Step 4: Simplify right side
    3,135.07x = 4,437,974.11
  5. Step 5: Solve for x
    x = 4,437,974.11/3,135.07
  6. Step 6: Final answer
    x = 1,415.59

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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.