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Finding the Fourth Proportional to 2,845.84, 4,266.60 and 2,362

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Solution

The fourth proportional to 2,845.84, 4,266.60 and 2,362 is: 3,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.84 : 4,266.60 = 2,362 : x
  2. Step 2: Convert to fraction form
    2,845.84/4,266.60 = 2,362/x
  3. Step 3: Cross multiply
    2,845.84x = 4,266.60 × 2,362
  4. Step 4: Simplify right side
    2,845.84x = 10,077,709.20
  5. Step 5: Solve for x
    x = 10,077,709.20/2,845.84
  6. Step 6: Final answer
    x = 3,541.21

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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.