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Finding the Fourth Proportional to 2,561.10, 3,842 and 917.84

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Solution

The fourth proportional to 2,561.10, 3,842 and 917.84 is: 1,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.10 : 3,842 = 917.84 : x
  2. Step 2: Convert to fraction form
    2,561.10/3,842 = 917.84/x
  3. Step 3: Cross multiply
    2,561.10x = 3,842 × 917.84
  4. Step 4: Simplify right side
    2,561.10x = 3,526,341.28
  5. Step 5: Solve for x
    x = 3,526,341.28/2,561.10
  6. Step 6: Final answer
    x = 1,376.89

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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.