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Finding the Fourth Proportional to 1,573.92, 2,362.86 and 1,344.30

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Solution

The fourth proportional to 1,573.92, 2,362.86 and 1,344.30 is: 2,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.92 : 2,362.86 = 1,344.30 : x
  2. Step 2: Convert to fraction form
    1,573.92/2,362.86 = 1,344.30/x
  3. Step 3: Cross multiply
    1,573.92x = 2,362.86 × 1,344.30
  4. Step 4: Simplify right side
    1,573.92x = 3,176,392.70
  5. Step 5: Solve for x
    x = 3,176,392.70/1,573.92
  6. Step 6: Final answer
    x = 2,018.14

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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.