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Finding the Fourth Proportional to 1,783.24, 2,460.70 and 997.24

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Solution

The fourth proportional to 1,783.24, 2,460.70 and 997.24 is: 1,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.24 : 2,460.70 = 997.24 : x
  2. Step 2: Convert to fraction form
    1,783.24/2,460.70 = 997.24/x
  3. Step 3: Cross multiply
    1,783.24x = 2,460.70 × 997.24
  4. Step 4: Simplify right side
    1,783.24x = 2,453,908.47
  5. Step 5: Solve for x
    x = 2,453,908.47/1,783.24
  6. Step 6: Final answer
    x = 1,376.10

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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.