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Finding the Fourth Proportional to 2,842.84, 4,256.40 and 1,453.18

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Solution

The fourth proportional to 2,842.84, 4,256.40 and 1,453.18 is: 2,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.84 : 4,256.40 = 1,453.18 : x
  2. Step 2: Convert to fraction form
    2,842.84/4,256.40 = 1,453.18/x
  3. Step 3: Cross multiply
    2,842.84x = 4,256.40 × 1,453.18
  4. Step 4: Simplify right side
    2,842.84x = 6,185,321.94
  5. Step 5: Solve for x
    x = 6,185,321.94/2,842.84
  6. Step 6: Final answer
    x = 2,175.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.