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Finding the Fourth Proportional to 1,493.42, 2,060.37 and 933.67

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Solution

The fourth proportional to 1,493.42, 2,060.37 and 933.67 is: 1,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.42 : 2,060.37 = 933.67 : x
  2. Step 2: Convert to fraction form
    1,493.42/2,060.37 = 933.67/x
  3. Step 3: Cross multiply
    1,493.42x = 2,060.37 × 933.67
  4. Step 4: Simplify right side
    1,493.42x = 1,923,705.66
  5. Step 5: Solve for x
    x = 1,923,705.66/1,493.42
  6. Step 6: Final answer
    x = 1,288.13

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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.