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Finding the Fourth Proportional to 2,026.50, 2,796.57 and 1,095

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Solution

The fourth proportional to 2,026.50, 2,796.57 and 1,095 is: 1,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.50 : 2,796.57 = 1,095 : x
  2. Step 2: Convert to fraction form
    2,026.50/2,796.57 = 1,095/x
  3. Step 3: Cross multiply
    2,026.50x = 2,796.57 × 1,095
  4. Step 4: Simplify right side
    2,026.50x = 3,062,244.15
  5. Step 5: Solve for x
    x = 3,062,244.15/2,026.50
  6. Step 6: Final answer
    x = 1,511.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.