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Finding the Fourth Proportional to 2,810.61, 4,216.82 and 1,349.87

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Solution

The fourth proportional to 2,810.61, 4,216.82 and 1,349.87 is: 2,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.61 : 4,216.82 = 1,349.87 : x
  2. Step 2: Convert to fraction form
    2,810.61/4,216.82 = 1,349.87/x
  3. Step 3: Cross multiply
    2,810.61x = 4,216.82 × 1,349.87
  4. Step 4: Simplify right side
    2,810.61x = 5,692,130.98
  5. Step 5: Solve for x
    x = 5,692,130.98/2,810.61
  6. Step 6: Final answer
    x = 2,025.23

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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.