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Finding the Fourth Proportional to 1,315.10, 1,814.19 and 1,120.70

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Solution

The fourth proportional to 1,315.10, 1,814.19 and 1,120.70 is: 1,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.10 : 1,814.19 = 1,120.70 : x
  2. Step 2: Convert to fraction form
    1,315.10/1,814.19 = 1,120.70/x
  3. Step 3: Cross multiply
    1,315.10x = 1,814.19 × 1,120.70
  4. Step 4: Simplify right side
    1,315.10x = 2,033,162.73
  5. Step 5: Solve for x
    x = 2,033,162.73/1,315.10
  6. Step 6: Final answer
    x = 1,546.01

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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.