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Finding the Fourth Proportional to 2,135.81, 3,203.35 and 575.93

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Solution

The fourth proportional to 2,135.81, 3,203.35 and 575.93 is: 863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.81 : 3,203.35 = 575.93 : x
  2. Step 2: Convert to fraction form
    2,135.81/3,203.35 = 575.93/x
  3. Step 3: Cross multiply
    2,135.81x = 3,203.35 × 575.93
  4. Step 4: Simplify right side
    2,135.81x = 1,844,911.93
  5. Step 5: Solve for x
    x = 1,844,911.93/2,135.81
  6. Step 6: Final answer
    x = 863.80

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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.