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Finding the Fourth Proportional to 1,309.60, 1,803.36 and 1,121.68

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Solution

The fourth proportional to 1,309.60, 1,803.36 and 1,121.68 is: 1,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.60 : 1,803.36 = 1,121.68 : x
  2. Step 2: Convert to fraction form
    1,309.60/1,803.36 = 1,121.68/x
  3. Step 3: Cross multiply
    1,309.60x = 1,803.36 × 1,121.68
  4. Step 4: Simplify right side
    1,309.60x = 2,022,792.84
  5. Step 5: Solve for x
    x = 2,022,792.84/1,309.60
  6. Step 6: Final answer
    x = 1,544.59

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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.