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Finding the Fourth Proportional to 1,492.33, 2,059.33 and 1,142.41

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Solution

The fourth proportional to 1,492.33, 2,059.33 and 1,142.41 is: 1,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.33 : 2,059.33 = 1,142.41 : x
  2. Step 2: Convert to fraction form
    1,492.33/2,059.33 = 1,142.41/x
  3. Step 3: Cross multiply
    1,492.33x = 2,059.33 × 1,142.41
  4. Step 4: Simplify right side
    1,492.33x = 2,352,583.18
  5. Step 5: Solve for x
    x = 2,352,583.18/1,492.33
  6. Step 6: Final answer
    x = 1,576.45

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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.