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Finding the Fourth Proportional to 1,544.16, 2,129.04 and 1,129.44

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Solution

The fourth proportional to 1,544.16, 2,129.04 and 1,129.44 is: 1,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.16 : 2,129.04 = 1,129.44 : x
  2. Step 2: Convert to fraction form
    1,544.16/2,129.04 = 1,129.44/x
  3. Step 3: Cross multiply
    1,544.16x = 2,129.04 × 1,129.44
  4. Step 4: Simplify right side
    1,544.16x = 2,404,622.94
  5. Step 5: Solve for x
    x = 2,404,622.94/1,544.16
  6. Step 6: Final answer
    x = 1,557.24

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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.