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Finding the Fourth Proportional to 1,755.93, 2,423.17 and 969.98

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Solution

The fourth proportional to 1,755.93, 2,423.17 and 969.98 is: 1,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.93 : 2,423.17 = 969.98 : x
  2. Step 2: Convert to fraction form
    1,755.93/2,423.17 = 969.98/x
  3. Step 3: Cross multiply
    1,755.93x = 2,423.17 × 969.98
  4. Step 4: Simplify right side
    1,755.93x = 2,350,409.47
  5. Step 5: Solve for x
    x = 2,350,409.47/1,755.93
  6. Step 6: Final answer
    x = 1,338.56

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1.5x scale

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.