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Finding the Fourth Proportional to 1,755.98, 2,423.26 and 970.03

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Solution

The fourth proportional to 1,755.98, 2,423.26 and 970.03 is: 1,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.98 : 2,423.26 = 970.03 : x
  2. Step 2: Convert to fraction form
    1,755.98/2,423.26 = 970.03/x
  3. Step 3: Cross multiply
    1,755.98x = 2,423.26 × 970.03
  4. Step 4: Simplify right side
    1,755.98x = 2,350,634.90
  5. Step 5: Solve for x
    x = 2,350,634.90/1,755.98
  6. Step 6: Final answer
    x = 1,338.65

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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.