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Finding the Fourth Proportional to 2,493.77, 3,740.46 and 933.17

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Solution

The fourth proportional to 2,493.77, 3,740.46 and 933.17 is: 1,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.77 : 3,740.46 = 933.17 : x
  2. Step 2: Convert to fraction form
    2,493.77/3,740.46 = 933.17/x
  3. Step 3: Cross multiply
    2,493.77x = 3,740.46 × 933.17
  4. Step 4: Simplify right side
    2,493.77x = 3,490,485.06
  5. Step 5: Solve for x
    x = 3,490,485.06/2,493.77
  6. Step 6: Final answer
    x = 1,399.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.