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Finding the Fourth Proportional to 2,348.95, 3,522.13 and 1,609.41

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Solution

The fourth proportional to 2,348.95, 3,522.13 and 1,609.41 is: 2,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.95 : 3,522.13 = 1,609.41 : x
  2. Step 2: Convert to fraction form
    2,348.95/3,522.13 = 1,609.41/x
  3. Step 3: Cross multiply
    2,348.95x = 3,522.13 × 1,609.41
  4. Step 4: Simplify right side
    2,348.95x = 5,668,551.24
  5. Step 5: Solve for x
    x = 5,668,551.24/2,348.95
  6. Step 6: Final answer
    x = 2,413.23

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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.