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Finding the Fourth Proportional to 2,569.33, 3,544 and 1,574.25

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Solution

The fourth proportional to 2,569.33, 3,544 and 1,574.25 is: 2,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.33 : 3,544 = 1,574.25 : x
  2. Step 2: Convert to fraction form
    2,569.33/3,544 = 1,574.25/x
  3. Step 3: Cross multiply
    2,569.33x = 3,544 × 1,574.25
  4. Step 4: Simplify right side
    2,569.33x = 5,579,142
  5. Step 5: Solve for x
    x = 5,579,142/2,569.33
  6. Step 6: Final answer
    x = 2,171.44

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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.