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Finding the Fourth Proportional to 1,814.64, 2,504.41 and 1,106.90

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Solution

The fourth proportional to 1,814.64, 2,504.41 and 1,106.90 is: 1,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.64 : 2,504.41 = 1,106.90 : x
  2. Step 2: Convert to fraction form
    1,814.64/2,504.41 = 1,106.90/x
  3. Step 3: Cross multiply
    1,814.64x = 2,504.41 × 1,106.90
  4. Step 4: Simplify right side
    1,814.64x = 2,772,134.92
  5. Step 5: Solve for x
    x = 2,772,134.92/1,814.64
  6. Step 6: Final answer
    x = 1,527.65

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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.