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Finding the Fourth Proportional to 3,135.26, 4,701.80 and 943.40

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Solution

The fourth proportional to 3,135.26, 4,701.80 and 943.40 is: 1,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.26 : 4,701.80 = 943.40 : x
  2. Step 2: Convert to fraction form
    3,135.26/4,701.80 = 943.40/x
  3. Step 3: Cross multiply
    3,135.26x = 4,701.80 × 943.40
  4. Step 4: Simplify right side
    3,135.26x = 4,435,678.12
  5. Step 5: Solve for x
    x = 4,435,678.12/3,135.26
  6. Step 6: Final answer
    x = 1,414.77

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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.