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Finding the Fourth Proportional to 1,515.67, 2,273.57 and 420.01

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Solution

The fourth proportional to 1,515.67, 2,273.57 and 420.01 is: 630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.67 : 2,273.57 = 420.01 : x
  2. Step 2: Convert to fraction form
    1,515.67/2,273.57 = 420.01/x
  3. Step 3: Cross multiply
    1,515.67x = 2,273.57 × 420.01
  4. Step 4: Simplify right side
    1,515.67x = 954,922.14
  5. Step 5: Solve for x
    x = 954,922.14/1,515.67
  6. Step 6: Final answer
    x = 630.03

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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.