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Finding the Fourth Proportional to 1,865.08, 2,573.83 and 1,119.12

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Solution

The fourth proportional to 1,865.08, 2,573.83 and 1,119.12 is: 1,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.08 : 2,573.83 = 1,119.12 : x
  2. Step 2: Convert to fraction form
    1,865.08/2,573.83 = 1,119.12/x
  3. Step 3: Cross multiply
    1,865.08x = 2,573.83 × 1,119.12
  4. Step 4: Simplify right side
    1,865.08x = 2,880,410.08
  5. Step 5: Solve for x
    x = 2,880,410.08/1,865.08
  6. Step 6: Final answer
    x = 1,544.39

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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.