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Finding the Fourth Proportional to 1,347.48, 2,020.68 and 908.46

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Solution

The fourth proportional to 1,347.48, 2,020.68 and 908.46 is: 1,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.48 : 2,020.68 = 908.46 : x
  2. Step 2: Convert to fraction form
    1,347.48/2,020.68 = 908.46/x
  3. Step 3: Cross multiply
    1,347.48x = 2,020.68 × 908.46
  4. Step 4: Simplify right side
    1,347.48x = 1,835,706.95
  5. Step 5: Solve for x
    x = 1,835,706.95/1,347.48
  6. Step 6: Final answer
    x = 1,362.33

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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.