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Finding the Fourth Proportional to 1,355.89, 1,863.94 and 1,166.14

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Solution

The fourth proportional to 1,355.89, 1,863.94 and 1,166.14 is: 1,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.89 : 1,863.94 = 1,166.14 : x
  2. Step 2: Convert to fraction form
    1,355.89/1,863.94 = 1,166.14/x
  3. Step 3: Cross multiply
    1,355.89x = 1,863.94 × 1,166.14
  4. Step 4: Simplify right side
    1,355.89x = 2,173,607.42
  5. Step 5: Solve for x
    x = 2,173,607.42/1,355.89
  6. Step 6: Final answer
    x = 1,603.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.