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Finding the Fourth Proportional to 2,782.17, 4,173.39 and 933.57

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Solution

The fourth proportional to 2,782.17, 4,173.39 and 933.57 is: 1,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.17 : 4,173.39 = 933.57 : x
  2. Step 2: Convert to fraction form
    2,782.17/4,173.39 = 933.57/x
  3. Step 3: Cross multiply
    2,782.17x = 4,173.39 × 933.57
  4. Step 4: Simplify right side
    2,782.17x = 3,896,151.70
  5. Step 5: Solve for x
    x = 3,896,151.70/2,782.17
  6. Step 6: Final answer
    x = 1,400.40

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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.