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Finding the Fourth Proportional to 2,594.76, 3,892.16 and 950.60

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Solution

The fourth proportional to 2,594.76, 3,892.16 and 950.60 is: 1,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.76 : 3,892.16 = 950.60 : x
  2. Step 2: Convert to fraction form
    2,594.76/3,892.16 = 950.60/x
  3. Step 3: Cross multiply
    2,594.76x = 3,892.16 × 950.60
  4. Step 4: Simplify right side
    2,594.76x = 3,699,887.30
  5. Step 5: Solve for x
    x = 3,699,887.30/2,594.76
  6. Step 6: Final answer
    x = 1,425.91

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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.