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Finding the Fourth Proportional to 2,810.02, 4,209.75 and 2,350.75

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Solution

The fourth proportional to 2,810.02, 4,209.75 and 2,350.75 is: 3,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.02 : 4,209.75 = 2,350.75 : x
  2. Step 2: Convert to fraction form
    2,810.02/4,209.75 = 2,350.75/x
  3. Step 3: Cross multiply
    2,810.02x = 4,209.75 × 2,350.75
  4. Step 4: Simplify right side
    2,810.02x = 9,896,069.81
  5. Step 5: Solve for x
    x = 9,896,069.81/2,810.02
  6. Step 6: Final answer
    x = 3,521.71

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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.