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Finding the Fourth Proportional to 1,340.69, 1,842.35 and 1,119.26

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Solution

The fourth proportional to 1,340.69, 1,842.35 and 1,119.26 is: 1,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.69 : 1,842.35 = 1,119.26 : x
  2. Step 2: Convert to fraction form
    1,340.69/1,842.35 = 1,119.26/x
  3. Step 3: Cross multiply
    1,340.69x = 1,842.35 × 1,119.26
  4. Step 4: Simplify right side
    1,340.69x = 2,062,068.66
  5. Step 5: Solve for x
    x = 2,062,068.66/1,340.69
  6. Step 6: Final answer
    x = 1,538.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.