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Finding the Fourth Proportional to 1,745.51, 2,406.04 and 1,324.17

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Solution

The fourth proportional to 1,745.51, 2,406.04 and 1,324.17 is: 1,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.51 : 2,406.04 = 1,324.17 : x
  2. Step 2: Convert to fraction form
    1,745.51/2,406.04 = 1,324.17/x
  3. Step 3: Cross multiply
    1,745.51x = 2,406.04 × 1,324.17
  4. Step 4: Simplify right side
    1,745.51x = 3,186,002.68
  5. Step 5: Solve for x
    x = 3,186,002.68/1,745.51
  6. Step 6: Final answer
    x = 1,825.26

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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.