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Finding the Fourth Proportional to 2,232.40, 3,347.16 and 933.52

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Solution

The fourth proportional to 2,232.40, 3,347.16 and 933.52 is: 1,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.40 : 3,347.16 = 933.52 : x
  2. Step 2: Convert to fraction form
    2,232.40/3,347.16 = 933.52/x
  3. Step 3: Cross multiply
    2,232.40x = 3,347.16 × 933.52
  4. Step 4: Simplify right side
    2,232.40x = 3,124,640.80
  5. Step 5: Solve for x
    x = 3,124,640.80/2,232.40
  6. Step 6: Final answer
    x = 1,399.68

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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.