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Finding the Fourth Proportional to 1,783.24, 2,460.72 and 997

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Solution

The fourth proportional to 1,783.24, 2,460.72 and 997 is: 1,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.24 : 2,460.72 = 997 : x
  2. Step 2: Convert to fraction form
    1,783.24/2,460.72 = 997/x
  3. Step 3: Cross multiply
    1,783.24x = 2,460.72 × 997
  4. Step 4: Simplify right side
    1,783.24x = 2,453,337.84
  5. Step 5: Solve for x
    x = 2,453,337.84/1,783.24
  6. Step 6: Final answer
    x = 1,375.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.