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Finding the Fourth Proportional to 1,348.46, 1,861.01 and 817.33

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Solution

The fourth proportional to 1,348.46, 1,861.01 and 817.33 is: 1,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.46 : 1,861.01 = 817.33 : x
  2. Step 2: Convert to fraction form
    1,348.46/1,861.01 = 817.33/x
  3. Step 3: Cross multiply
    1,348.46x = 1,861.01 × 817.33
  4. Step 4: Simplify right side
    1,348.46x = 1,521,056.69
  5. Step 5: Solve for x
    x = 1,521,056.69/1,348.46
  6. Step 6: Final answer
    x = 1,127.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.