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Finding the Fourth Proportional to 1,281.48, 1,922.15 and 357.09

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Solution

The fourth proportional to 1,281.48, 1,922.15 and 357.09 is: 535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.48 : 1,922.15 = 357.09 : x
  2. Step 2: Convert to fraction form
    1,281.48/1,922.15 = 357.09/x
  3. Step 3: Cross multiply
    1,281.48x = 1,922.15 × 357.09
  4. Step 4: Simplify right side
    1,281.48x = 686,378.76
  5. Step 5: Solve for x
    x = 686,378.76/1,281.48
  6. Step 6: Final answer
    x = 535.61

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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.