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Finding the Fourth Proportional to 1,814.85, 2,504.63 and 1,106.63

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Solution

The fourth proportional to 1,814.85, 2,504.63 and 1,106.63 is: 1,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.85 : 2,504.63 = 1,106.63 : x
  2. Step 2: Convert to fraction form
    1,814.85/2,504.63 = 1,106.63/x
  3. Step 3: Cross multiply
    1,814.85x = 2,504.63 × 1,106.63
  4. Step 4: Simplify right side
    1,814.85x = 2,771,680.64
  5. Step 5: Solve for x
    x = 2,771,680.64/1,814.85
  6. Step 6: Final answer
    x = 1,527.22

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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.