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Finding the Fourth Proportional to 1,314.64, 1,814.34 and 1,000.81

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Solution

The fourth proportional to 1,314.64, 1,814.34 and 1,000.81 is: 1,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.64 : 1,814.34 = 1,000.81 : x
  2. Step 2: Convert to fraction form
    1,314.64/1,814.34 = 1,000.81/x
  3. Step 3: Cross multiply
    1,314.64x = 1,814.34 × 1,000.81
  4. Step 4: Simplify right side
    1,314.64x = 1,815,809.62
  5. Step 5: Solve for x
    x = 1,815,809.62/1,314.64
  6. Step 6: Final answer
    x = 1,381.22

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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.