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Finding the Fourth Proportional to 1,825.05, 2,737.59 and 592.53

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Solution

The fourth proportional to 1,825.05, 2,737.59 and 592.53 is: 888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.05 : 2,737.59 = 592.53 : x
  2. Step 2: Convert to fraction form
    1,825.05/2,737.59 = 592.53/x
  3. Step 3: Cross multiply
    1,825.05x = 2,737.59 × 592.53
  4. Step 4: Simplify right side
    1,825.05x = 1,622,104.20
  5. Step 5: Solve for x
    x = 1,622,104.20/1,825.05
  6. Step 6: Final answer
    x = 888.80

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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.