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Finding the Fourth Proportional to 2,890.14, 4,334.46 and 810.02

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Solution

The fourth proportional to 2,890.14, 4,334.46 and 810.02 is: 1,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.14 : 4,334.46 = 810.02 : x
  2. Step 2: Convert to fraction form
    2,890.14/4,334.46 = 810.02/x
  3. Step 3: Cross multiply
    2,890.14x = 4,334.46 × 810.02
  4. Step 4: Simplify right side
    2,890.14x = 3,510,999.29
  5. Step 5: Solve for x
    x = 3,510,999.29/2,890.14
  6. Step 6: Final answer
    x = 1,214.82

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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.