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Finding the Fourth Proportional to 1,739.32, 2,400.26 and 953.37

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Solution

The fourth proportional to 1,739.32, 2,400.26 and 953.37 is: 1,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.32 : 2,400.26 = 953.37 : x
  2. Step 2: Convert to fraction form
    1,739.32/2,400.26 = 953.37/x
  3. Step 3: Cross multiply
    1,739.32x = 2,400.26 × 953.37
  4. Step 4: Simplify right side
    1,739.32x = 2,288,331.11
  5. Step 5: Solve for x
    x = 2,288,331.11/1,739.32
  6. Step 6: Final answer
    x = 1,315.65

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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.