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Finding the Fourth Proportional to 1,344.04, 1,849.32 and 1,311.64

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Solution

The fourth proportional to 1,344.04, 1,849.32 and 1,311.64 is: 1,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.04 : 1,849.32 = 1,311.64 : x
  2. Step 2: Convert to fraction form
    1,344.04/1,849.32 = 1,311.64/x
  3. Step 3: Cross multiply
    1,344.04x = 1,849.32 × 1,311.64
  4. Step 4: Simplify right side
    1,344.04x = 2,425,642.08
  5. Step 5: Solve for x
    x = 2,425,642.08/1,344.04
  6. Step 6: Final answer
    x = 1,804.74

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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.