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Finding the Fourth Proportional to 1,281.56, 1,922.26 and 357.10

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Solution

The fourth proportional to 1,281.56, 1,922.26 and 357.10 is: 535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.56 : 1,922.26 = 357.10 : x
  2. Step 2: Convert to fraction form
    1,281.56/1,922.26 = 357.10/x
  3. Step 3: Cross multiply
    1,281.56x = 1,922.26 × 357.10
  4. Step 4: Simplify right side
    1,281.56x = 686,439.05
  5. Step 5: Solve for x
    x = 686,439.05/1,281.56
  6. Step 6: Final answer
    x = 535.63

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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.