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Finding the Fourth Proportional to 1,473.64, 2,033.22 and 913.84

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Solution

The fourth proportional to 1,473.64, 2,033.22 and 913.84 is: 1,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.64 : 2,033.22 = 913.84 : x
  2. Step 2: Convert to fraction form
    1,473.64/2,033.22 = 913.84/x
  3. Step 3: Cross multiply
    1,473.64x = 2,033.22 × 913.84
  4. Step 4: Simplify right side
    1,473.64x = 1,858,037.76
  5. Step 5: Solve for x
    x = 1,858,037.76/1,473.64
  6. Step 6: Final answer
    x = 1,260.85

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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.