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Finding the Fourth Proportional to 1,755.73, 2,423.01 and 969.85

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Solution

The fourth proportional to 1,755.73, 2,423.01 and 969.85 is: 1,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.73 : 2,423.01 = 969.85 : x
  2. Step 2: Convert to fraction form
    1,755.73/2,423.01 = 969.85/x
  3. Step 3: Cross multiply
    1,755.73x = 2,423.01 × 969.85
  4. Step 4: Simplify right side
    1,755.73x = 2,349,956.25
  5. Step 5: Solve for x
    x = 2,349,956.25/1,755.73
  6. Step 6: Final answer
    x = 1,338.45

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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.