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Finding the Fourth Proportional to 1,858.88, 2,786.21 and 870.51

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Solution

The fourth proportional to 1,858.88, 2,786.21 and 870.51 is: 1,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.88 : 2,786.21 = 870.51 : x
  2. Step 2: Convert to fraction form
    1,858.88/2,786.21 = 870.51/x
  3. Step 3: Cross multiply
    1,858.88x = 2,786.21 × 870.51
  4. Step 4: Simplify right side
    1,858.88x = 2,425,419.31
  5. Step 5: Solve for x
    x = 2,425,419.31/1,858.88
  6. Step 6: Final answer
    x = 1,304.78

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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.