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Finding the Fourth Proportional to 1,862.83, 2,794.32 and 1,040.47

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Solution

The fourth proportional to 1,862.83, 2,794.32 and 1,040.47 is: 1,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.83 : 2,794.32 = 1,040.47 : x
  2. Step 2: Convert to fraction form
    1,862.83/2,794.32 = 1,040.47/x
  3. Step 3: Cross multiply
    1,862.83x = 2,794.32 × 1,040.47
  4. Step 4: Simplify right side
    1,862.83x = 2,907,406.13
  5. Step 5: Solve for x
    x = 2,907,406.13/1,862.83
  6. Step 6: Final answer
    x = 1,560.75

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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.