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Finding the Fourth Proportional to 1,509.46, 2,263.03 and 815.69

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Solution

The fourth proportional to 1,509.46, 2,263.03 and 815.69 is: 1,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.46 : 2,263.03 = 815.69 : x
  2. Step 2: Convert to fraction form
    1,509.46/2,263.03 = 815.69/x
  3. Step 3: Cross multiply
    1,509.46x = 2,263.03 × 815.69
  4. Step 4: Simplify right side
    1,509.46x = 1,845,930.94
  5. Step 5: Solve for x
    x = 1,845,930.94/1,509.46
  6. Step 6: Final answer
    x = 1,222.91

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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.