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Finding the Fourth Proportional to 2,389.59, 3,584.84 and 745.74

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Solution

The fourth proportional to 2,389.59, 3,584.84 and 745.74 is: 1,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.59 : 3,584.84 = 745.74 : x
  2. Step 2: Convert to fraction form
    2,389.59/3,584.84 = 745.74/x
  3. Step 3: Cross multiply
    2,389.59x = 3,584.84 × 745.74
  4. Step 4: Simplify right side
    2,389.59x = 2,673,354.85
  5. Step 5: Solve for x
    x = 2,673,354.85/2,389.59
  6. Step 6: Final answer
    x = 1,118.75

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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.