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Finding the Fourth Proportional to 2,810.43, 4,214.61 and 935.98

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Solution

The fourth proportional to 2,810.43, 4,214.61 and 935.98 is: 1,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.43 : 4,214.61 = 935.98 : x
  2. Step 2: Convert to fraction form
    2,810.43/4,214.61 = 935.98/x
  3. Step 3: Cross multiply
    2,810.43x = 4,214.61 × 935.98
  4. Step 4: Simplify right side
    2,810.43x = 3,944,780.13
  5. Step 5: Solve for x
    x = 3,944,780.13/2,810.43
  6. Step 6: Final answer
    x = 1,403.62

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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.