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Finding the Fourth Proportional to 2,935.47, 4,402.09 and 854.78

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Solution

The fourth proportional to 2,935.47, 4,402.09 and 854.78 is: 1,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.47 : 4,402.09 = 854.78 : x
  2. Step 2: Convert to fraction form
    2,935.47/4,402.09 = 854.78/x
  3. Step 3: Cross multiply
    2,935.47x = 4,402.09 × 854.78
  4. Step 4: Simplify right side
    2,935.47x = 3,762,814.22
  5. Step 5: Solve for x
    x = 3,762,814.22/2,935.47
  6. Step 6: Final answer
    x = 1,281.84

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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.