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Finding the Fourth Proportional to 1,739.40, 2,400.32 and 953.42

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Solution

The fourth proportional to 1,739.40, 2,400.32 and 953.42 is: 1,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.40 : 2,400.32 = 953.42 : x
  2. Step 2: Convert to fraction form
    1,739.40/2,400.32 = 953.42/x
  3. Step 3: Cross multiply
    1,739.40x = 2,400.32 × 953.42
  4. Step 4: Simplify right side
    1,739.40x = 2,288,513.09
  5. Step 5: Solve for x
    x = 2,288,513.09/1,739.40
  6. Step 6: Final answer
    x = 1,315.69

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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.