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Finding the Fourth Proportional to 2,370.62, 3,554.63 and 909.92

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Solution

The fourth proportional to 2,370.62, 3,554.63 and 909.92 is: 1,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.62 : 3,554.63 = 909.92 : x
  2. Step 2: Convert to fraction form
    2,370.62/3,554.63 = 909.92/x
  3. Step 3: Cross multiply
    2,370.62x = 3,554.63 × 909.92
  4. Step 4: Simplify right side
    2,370.62x = 3,234,436.68
  5. Step 5: Solve for x
    x = 3,234,436.68/2,370.62
  6. Step 6: Final answer
    x = 1,364.38

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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.