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Finding the Fourth Proportional to 2,944.93, 4,417.37 and 753.66

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Solution

The fourth proportional to 2,944.93, 4,417.37 and 753.66 is: 1,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.93 : 4,417.37 = 753.66 : x
  2. Step 2: Convert to fraction form
    2,944.93/4,417.37 = 753.66/x
  3. Step 3: Cross multiply
    2,944.93x = 4,417.37 × 753.66
  4. Step 4: Simplify right side
    2,944.93x = 3,329,174.87
  5. Step 5: Solve for x
    x = 3,329,174.87/2,944.93
  6. Step 6: Final answer
    x = 1,130.48

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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.