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Finding the Fourth Proportional to 1,866.68, 2,574.68 and 1,203.75

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Solution

The fourth proportional to 1,866.68, 2,574.68 and 1,203.75 is: 1,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.68 : 2,574.68 = 1,203.75 : x
  2. Step 2: Convert to fraction form
    1,866.68/2,574.68 = 1,203.75/x
  3. Step 3: Cross multiply
    1,866.68x = 2,574.68 × 1,203.75
  4. Step 4: Simplify right side
    1,866.68x = 3,099,265.03
  5. Step 5: Solve for x
    x = 3,099,265.03/1,866.68
  6. Step 6: Final answer
    x = 1,660.31

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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.