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Finding the Fourth Proportional to 4,697, 7,046.58 and 1,619

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Solution

The fourth proportional to 4,697, 7,046.58 and 1,619 is: 2,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697 : 7,046.58 = 1,619 : x
  2. Step 2: Convert to fraction form
    4,697/7,046.58 = 1,619/x
  3. Step 3: Cross multiply
    4,697x = 7,046.58 × 1,619
  4. Step 4: Simplify right side
    4,697x = 11,408,413.02
  5. Step 5: Solve for x
    x = 11,408,413.02/4,697
  6. Step 6: Final answer
    x = 2,428.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.