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Finding the Fourth Proportional to 2,232.18, 3,348.54 and 933.75

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Solution

The fourth proportional to 2,232.18, 3,348.54 and 933.75 is: 1,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.18 : 3,348.54 = 933.75 : x
  2. Step 2: Convert to fraction form
    2,232.18/3,348.54 = 933.75/x
  3. Step 3: Cross multiply
    2,232.18x = 3,348.54 × 933.75
  4. Step 4: Simplify right side
    2,232.18x = 3,126,699.23
  5. Step 5: Solve for x
    x = 3,126,699.23/2,232.18
  6. Step 6: Final answer
    x = 1,400.74

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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.