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Finding the Fourth Proportional to 2,392.29, 3,580.23 and 1,900.23

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Solution

The fourth proportional to 2,392.29, 3,580.23 and 1,900.23 is: 2,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.29 : 3,580.23 = 1,900.23 : x
  2. Step 2: Convert to fraction form
    2,392.29/3,580.23 = 1,900.23/x
  3. Step 3: Cross multiply
    2,392.29x = 3,580.23 × 1,900.23
  4. Step 4: Simplify right side
    2,392.29x = 6,803,260.45
  5. Step 5: Solve for x
    x = 6,803,260.45/2,392.29
  6. Step 6: Final answer
    x = 2,843.83

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1.5x scale

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.