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Finding the Fourth Proportional to 1,859.94, 2,562.37 and 1,299.42

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Solution

The fourth proportional to 1,859.94, 2,562.37 and 1,299.42 is: 1,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.94 : 2,562.37 = 1,299.42 : x
  2. Step 2: Convert to fraction form
    1,859.94/2,562.37 = 1,299.42/x
  3. Step 3: Cross multiply
    1,859.94x = 2,562.37 × 1,299.42
  4. Step 4: Simplify right side
    1,859.94x = 3,329,591.58
  5. Step 5: Solve for x
    x = 3,329,591.58/1,859.94
  6. Step 6: Final answer
    x = 1,790.16

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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.