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Finding the Fourth Proportional to 1,782.96, 2,460.49 and 997.00

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Solution

The fourth proportional to 1,782.96, 2,460.49 and 997.00 is: 1,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.96 : 2,460.49 = 997.00 : x
  2. Step 2: Convert to fraction form
    1,782.96/2,460.49 = 997.00/x
  3. Step 3: Cross multiply
    1,782.96x = 2,460.49 × 997.00
  4. Step 4: Simplify right side
    1,782.96x = 2,453,109.11
  5. Step 5: Solve for x
    x = 2,453,109.11/1,782.96
  6. Step 6: Final answer
    x = 1,375.87

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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.