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Finding the Fourth Proportional to 1,515.85, 2,273.05 and 693.70

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Solution

The fourth proportional to 1,515.85, 2,273.05 and 693.70 is: 1,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.85 : 2,273.05 = 693.70 : x
  2. Step 2: Convert to fraction form
    1,515.85/2,273.05 = 693.70/x
  3. Step 3: Cross multiply
    1,515.85x = 2,273.05 × 693.70
  4. Step 4: Simplify right side
    1,515.85x = 1,576,814.79
  5. Step 5: Solve for x
    x = 1,576,814.79/1,515.85
  6. Step 6: Final answer
    x = 1,040.22

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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.