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Finding the Fourth Proportional to 1,891.93, 2,838.18 and 593.50

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Solution

The fourth proportional to 1,891.93, 2,838.18 and 593.50 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.93 : 2,838.18 = 593.50 : x
  2. Step 2: Convert to fraction form
    1,891.93/2,838.18 = 593.50/x
  3. Step 3: Cross multiply
    1,891.93x = 2,838.18 × 593.50
  4. Step 4: Simplify right side
    1,891.93x = 1,684,459.83
  5. Step 5: Solve for x
    x = 1,684,459.83/1,891.93
  6. Step 6: Final answer
    x = 890.34

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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.