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Finding the Fourth Proportional to 2,825, 3,898.74 and 1,583.24

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Solution

The fourth proportional to 2,825, 3,898.74 and 1,583.24 is: 2,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825 : 3,898.74 = 1,583.24 : x
  2. Step 2: Convert to fraction form
    2,825/3,898.74 = 1,583.24/x
  3. Step 3: Cross multiply
    2,825x = 3,898.74 × 1,583.24
  4. Step 4: Simplify right side
    2,825x = 6,172,641.12
  5. Step 5: Solve for x
    x = 6,172,641.12/2,825
  6. Step 6: Final answer
    x = 2,185.01

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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.