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Finding the Fourth Proportional to 2,493.54, 3,740.46 and 933.18

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Solution

The fourth proportional to 2,493.54, 3,740.46 and 933.18 is: 1,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.54 : 3,740.46 = 933.18 : x
  2. Step 2: Convert to fraction form
    2,493.54/3,740.46 = 933.18/x
  3. Step 3: Cross multiply
    2,493.54x = 3,740.46 × 933.18
  4. Step 4: Simplify right side
    2,493.54x = 3,490,503.76
  5. Step 5: Solve for x
    x = 3,490,503.76/2,493.54
  6. Step 6: Final answer
    x = 1,399.82

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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.