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Finding the Fourth Proportional to 2,944.87, 4,417.28 and 753.59

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Solution

The fourth proportional to 2,944.87, 4,417.28 and 753.59 is: 1,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.87 : 4,417.28 = 753.59 : x
  2. Step 2: Convert to fraction form
    2,944.87/4,417.28 = 753.59/x
  3. Step 3: Cross multiply
    2,944.87x = 4,417.28 × 753.59
  4. Step 4: Simplify right side
    2,944.87x = 3,328,828.14
  5. Step 5: Solve for x
    x = 3,328,828.14/2,944.87
  6. Step 6: Final answer
    x = 1,130.38

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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.