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Finding the Fourth Proportional to 1,720.40, 2,324.37 and 1,720.40

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Solution

The fourth proportional to 1,720.40, 2,324.37 and 1,720.40 is: 2,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.40 : 2,324.37 = 1,720.40 : x
  2. Step 2: Convert to fraction form
    1,720.40/2,324.37 = 1,720.40/x
  3. Step 3: Cross multiply
    1,720.40x = 2,324.37 × 1,720.40
  4. Step 4: Simplify right side
    1,720.40x = 3,998,846.15
  5. Step 5: Solve for x
    x = 3,998,846.15/1,720.40
  6. Step 6: Final answer
    x = 2,324.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.