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Finding the Fourth Proportional to 2,404.47, 3,608.73 and 944.65

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Solution

The fourth proportional to 2,404.47, 3,608.73 and 944.65 is: 1,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.47 : 3,608.73 = 944.65 : x
  2. Step 2: Convert to fraction form
    2,404.47/3,608.73 = 944.65/x
  3. Step 3: Cross multiply
    2,404.47x = 3,608.73 × 944.65
  4. Step 4: Simplify right side
    2,404.47x = 3,408,977.77
  5. Step 5: Solve for x
    x = 3,408,977.77/2,404.47
  6. Step 6: Final answer
    x = 1,417.77

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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.