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Finding the Fourth Proportional to 1,532.23, 2,113.23 and 942.55

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Solution

The fourth proportional to 1,532.23, 2,113.23 and 942.55 is: 1,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.23 : 2,113.23 = 942.55 : x
  2. Step 2: Convert to fraction form
    1,532.23/2,113.23 = 942.55/x
  3. Step 3: Cross multiply
    1,532.23x = 2,113.23 × 942.55
  4. Step 4: Simplify right side
    1,532.23x = 1,991,824.94
  5. Step 5: Solve for x
    x = 1,991,824.94/1,532.23
  6. Step 6: Final answer
    x = 1,299.95

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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.