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Finding the Fourth Proportional to 1,842.18, 2,544.82 and 1,774.82

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Solution

The fourth proportional to 1,842.18, 2,544.82 and 1,774.82 is: 2,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.18 : 2,544.82 = 1,774.82 : x
  2. Step 2: Convert to fraction form
    1,842.18/2,544.82 = 1,774.82/x
  3. Step 3: Cross multiply
    1,842.18x = 2,544.82 × 1,774.82
  4. Step 4: Simplify right side
    1,842.18x = 4,516,597.43
  5. Step 5: Solve for x
    x = 4,516,597.43/1,842.18
  6. Step 6: Final answer
    x = 2,451.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.