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Finding the Fourth Proportional to 1,505.67, 2,253.79 and 1,094.70

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Solution

The fourth proportional to 1,505.67, 2,253.79 and 1,094.70 is: 1,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.67 : 2,253.79 = 1,094.70 : x
  2. Step 2: Convert to fraction form
    1,505.67/2,253.79 = 1,094.70/x
  3. Step 3: Cross multiply
    1,505.67x = 2,253.79 × 1,094.70
  4. Step 4: Simplify right side
    1,505.67x = 2,467,223.91
  5. Step 5: Solve for x
    x = 2,467,223.91/1,505.67
  6. Step 6: Final answer
    x = 1,638.62

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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.