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Finding the Fourth Proportional to 1,205.18, 1,806.25 and 1,026.98

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Solution

The fourth proportional to 1,205.18, 1,806.25 and 1,026.98 is: 1,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.18 : 1,806.25 = 1,026.98 : x
  2. Step 2: Convert to fraction form
    1,205.18/1,806.25 = 1,026.98/x
  3. Step 3: Cross multiply
    1,205.18x = 1,806.25 × 1,026.98
  4. Step 4: Simplify right side
    1,205.18x = 1,854,977.49
  5. Step 5: Solve for x
    x = 1,854,977.49/1,205.18
  6. Step 6: Final answer
    x = 1,539.17

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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.