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Finding the Fourth Proportional to 1,515.23, 2,272.87 and 404.67

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Solution

The fourth proportional to 1,515.23, 2,272.87 and 404.67 is: 607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.23 : 2,272.87 = 404.67 : x
  2. Step 2: Convert to fraction form
    1,515.23/2,272.87 = 404.67/x
  3. Step 3: Cross multiply
    1,515.23x = 2,272.87 × 404.67
  4. Step 4: Simplify right side
    1,515.23x = 919,762.30
  5. Step 5: Solve for x
    x = 919,762.30/1,515.23
  6. Step 6: Final answer
    x = 607.01

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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.