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Finding the Fourth Proportional to 2,678.42, 4,018.14 and 1,034.82

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Solution

The fourth proportional to 2,678.42, 4,018.14 and 1,034.82 is: 1,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.42 : 4,018.14 = 1,034.82 : x
  2. Step 2: Convert to fraction form
    2,678.42/4,018.14 = 1,034.82/x
  3. Step 3: Cross multiply
    2,678.42x = 4,018.14 × 1,034.82
  4. Step 4: Simplify right side
    2,678.42x = 4,158,051.63
  5. Step 5: Solve for x
    x = 4,158,051.63/2,678.42
  6. Step 6: Final answer
    x = 1,552.43

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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.