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Finding the Fourth Proportional to 2,324.15, 3,490.11 and 1,448.69

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Solution

The fourth proportional to 2,324.15, 3,490.11 and 1,448.69 is: 2,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.15 : 3,490.11 = 1,448.69 : x
  2. Step 2: Convert to fraction form
    2,324.15/3,490.11 = 1,448.69/x
  3. Step 3: Cross multiply
    2,324.15x = 3,490.11 × 1,448.69
  4. Step 4: Simplify right side
    2,324.15x = 5,056,070.01
  5. Step 5: Solve for x
    x = 5,056,070.01/2,324.15
  6. Step 6: Final answer
    x = 2,175.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.