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Finding the Fourth Proportional to 2,592.33, 3,576.78 and 1,473

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Solution

The fourth proportional to 2,592.33, 3,576.78 and 1,473 is: 2,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.33 : 3,576.78 = 1,473 : x
  2. Step 2: Convert to fraction form
    2,592.33/3,576.78 = 1,473/x
  3. Step 3: Cross multiply
    2,592.33x = 3,576.78 × 1,473
  4. Step 4: Simplify right side
    2,592.33x = 5,268,596.94
  5. Step 5: Solve for x
    x = 5,268,596.94/2,592.33
  6. Step 6: Final answer
    x = 2,032.38

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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.