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Finding the Fourth Proportional to 1,739.82, 2,400.96 and 953.85

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Solution

The fourth proportional to 1,739.82, 2,400.96 and 953.85 is: 1,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.82 : 2,400.96 = 953.85 : x
  2. Step 2: Convert to fraction form
    1,739.82/2,400.96 = 953.85/x
  3. Step 3: Cross multiply
    1,739.82x = 2,400.96 × 953.85
  4. Step 4: Simplify right side
    1,739.82x = 2,290,155.70
  5. Step 5: Solve for x
    x = 2,290,155.70/1,739.82
  6. Step 6: Final answer
    x = 1,316.32

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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.