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Finding the Fourth Proportional to 1,358.21, 1,873.09 and 1,148.82

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Solution

The fourth proportional to 1,358.21, 1,873.09 and 1,148.82 is: 1,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.21 : 1,873.09 = 1,148.82 : x
  2. Step 2: Convert to fraction form
    1,358.21/1,873.09 = 1,148.82/x
  3. Step 3: Cross multiply
    1,358.21x = 1,873.09 × 1,148.82
  4. Step 4: Simplify right side
    1,358.21x = 2,151,843.25
  5. Step 5: Solve for x
    x = 2,151,843.25/1,358.21
  6. Step 6: Final answer
    x = 1,584.32

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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.