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Finding the Fourth Proportional to 1,544.08, 2,324.46 and 1,410.16

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Solution

The fourth proportional to 1,544.08, 2,324.46 and 1,410.16 is: 2,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.08 : 2,324.46 = 1,410.16 : x
  2. Step 2: Convert to fraction form
    1,544.08/2,324.46 = 1,410.16/x
  3. Step 3: Cross multiply
    1,544.08x = 2,324.46 × 1,410.16
  4. Step 4: Simplify right side
    1,544.08x = 3,277,860.51
  5. Step 5: Solve for x
    x = 3,277,860.51/1,544.08
  6. Step 6: Final answer
    x = 2,122.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.