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Finding the Fourth Proportional to 1,493.11, 2,061.24 and 933.89

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Solution

The fourth proportional to 1,493.11, 2,061.24 and 933.89 is: 1,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.11 : 2,061.24 = 933.89 : x
  2. Step 2: Convert to fraction form
    1,493.11/2,061.24 = 933.89/x
  3. Step 3: Cross multiply
    1,493.11x = 2,061.24 × 933.89
  4. Step 4: Simplify right side
    1,493.11x = 1,924,971.42
  5. Step 5: Solve for x
    x = 1,924,971.42/1,493.11
  6. Step 6: Final answer
    x = 1,289.24

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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.