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Finding the Fourth Proportional to 2,185.83, 3,278.23 and 625.81

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Solution

The fourth proportional to 2,185.83, 3,278.23 and 625.81 is: 938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.83 : 3,278.23 = 625.81 : x
  2. Step 2: Convert to fraction form
    2,185.83/3,278.23 = 625.81/x
  3. Step 3: Cross multiply
    2,185.83x = 3,278.23 × 625.81
  4. Step 4: Simplify right side
    2,185.83x = 2,051,549.12
  5. Step 5: Solve for x
    x = 2,051,549.12/2,185.83
  6. Step 6: Final answer
    x = 938.57

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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.