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Finding the Fourth Proportional to 1,277.78, 1,907.34 and 1,096.34

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Solution

The fourth proportional to 1,277.78, 1,907.34 and 1,096.34 is: 1,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.78 : 1,907.34 = 1,096.34 : x
  2. Step 2: Convert to fraction form
    1,277.78/1,907.34 = 1,096.34/x
  3. Step 3: Cross multiply
    1,277.78x = 1,907.34 × 1,096.34
  4. Step 4: Simplify right side
    1,277.78x = 2,091,094.86
  5. Step 5: Solve for x
    x = 2,091,094.86/1,277.78
  6. Step 6: Final answer
    x = 1,636.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.