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Finding the Fourth Proportional to 2,156.63, 3,235.34 and 1,278.69

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Solution

The fourth proportional to 2,156.63, 3,235.34 and 1,278.69 is: 1,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.63 : 3,235.34 = 1,278.69 : x
  2. Step 2: Convert to fraction form
    2,156.63/3,235.34 = 1,278.69/x
  3. Step 3: Cross multiply
    2,156.63x = 3,235.34 × 1,278.69
  4. Step 4: Simplify right side
    2,156.63x = 4,136,987.97
  5. Step 5: Solve for x
    x = 4,136,987.97/2,156.63
  6. Step 6: Final answer
    x = 1,918.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.