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Finding the Fourth Proportional to 4,277.86, 6,418.14 and 1,681

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Solution

The fourth proportional to 4,277.86, 6,418.14 and 1,681 is: 2,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.86 : 6,418.14 = 1,681 : x
  2. Step 2: Convert to fraction form
    4,277.86/6,418.14 = 1,681/x
  3. Step 3: Cross multiply
    4,277.86x = 6,418.14 × 1,681
  4. Step 4: Simplify right side
    4,277.86x = 10,788,893.34
  5. Step 5: Solve for x
    x = 10,788,893.34/4,277.86
  6. Step 6: Final answer
    x = 2,522.03

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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.