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Finding the Fourth Proportional to 1,782.98, 2,460.48 and 997.04

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Solution

The fourth proportional to 1,782.98, 2,460.48 and 997.04 is: 1,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.98 : 2,460.48 = 997.04 : x
  2. Step 2: Convert to fraction form
    1,782.98/2,460.48 = 997.04/x
  3. Step 3: Cross multiply
    1,782.98x = 2,460.48 × 997.04
  4. Step 4: Simplify right side
    1,782.98x = 2,453,196.98
  5. Step 5: Solve for x
    x = 2,453,196.98/1,782.98
  6. Step 6: Final answer
    x = 1,375.90

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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.