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Finding the Fourth Proportional to 2,284.56, 3,152.43 and 1,340.19

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Solution

The fourth proportional to 2,284.56, 3,152.43 and 1,340.19 is: 1,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.56 : 3,152.43 = 1,340.19 : x
  2. Step 2: Convert to fraction form
    2,284.56/3,152.43 = 1,340.19/x
  3. Step 3: Cross multiply
    2,284.56x = 3,152.43 × 1,340.19
  4. Step 4: Simplify right side
    2,284.56x = 4,224,855.16
  5. Step 5: Solve for x
    x = 4,224,855.16/2,284.56
  6. Step 6: Final answer
    x = 1,849.31

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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.