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Finding the Fourth Proportional to 2,166.42, 3,248.72 and 933.18

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Solution

The fourth proportional to 2,166.42, 3,248.72 and 933.18 is: 1,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.42 : 3,248.72 = 933.18 : x
  2. Step 2: Convert to fraction form
    2,166.42/3,248.72 = 933.18/x
  3. Step 3: Cross multiply
    2,166.42x = 3,248.72 × 933.18
  4. Step 4: Simplify right side
    2,166.42x = 3,031,640.53
  5. Step 5: Solve for x
    x = 3,031,640.53/2,166.42
  6. Step 6: Final answer
    x = 1,399.38

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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.