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Finding the Fourth Proportional to 1,314.42, 1,814.67 and 1,019.04

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Solution

The fourth proportional to 1,314.42, 1,814.67 and 1,019.04 is: 1,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.42 : 1,814.67 = 1,019.04 : x
  2. Step 2: Convert to fraction form
    1,314.42/1,814.67 = 1,019.04/x
  3. Step 3: Cross multiply
    1,314.42x = 1,814.67 × 1,019.04
  4. Step 4: Simplify right side
    1,314.42x = 1,849,221.32
  5. Step 5: Solve for x
    x = 1,849,221.32/1,314.42
  6. Step 6: Final answer
    x = 1,406.87

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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.