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Finding the Fourth Proportional to 1,515.30, 2,273.64 and 734.88

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Solution

The fourth proportional to 1,515.30, 2,273.64 and 734.88 is: 1,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.30 : 2,273.64 = 734.88 : x
  2. Step 2: Convert to fraction form
    1,515.30/2,273.64 = 734.88/x
  3. Step 3: Cross multiply
    1,515.30x = 2,273.64 × 734.88
  4. Step 4: Simplify right side
    1,515.30x = 1,670,852.56
  5. Step 5: Solve for x
    x = 1,670,852.56/1,515.30
  6. Step 6: Final answer
    x = 1,102.65

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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.