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Finding the Fourth Proportional to 1,859.10, 2,787.58 and 764.22

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Solution

The fourth proportional to 1,859.10, 2,787.58 and 764.22 is: 1,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.10 : 2,787.58 = 764.22 : x
  2. Step 2: Convert to fraction form
    1,859.10/2,787.58 = 764.22/x
  3. Step 3: Cross multiply
    1,859.10x = 2,787.58 × 764.22
  4. Step 4: Simplify right side
    1,859.10x = 2,130,324.39
  5. Step 5: Solve for x
    x = 2,130,324.39/1,859.10
  6. Step 6: Final answer
    x = 1,145.89

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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.