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Finding the Fourth Proportional to 1,458.15, 2,012.22 and 828.81

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Solution

The fourth proportional to 1,458.15, 2,012.22 and 828.81 is: 1,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.15 : 2,012.22 = 828.81 : x
  2. Step 2: Convert to fraction form
    1,458.15/2,012.22 = 828.81/x
  3. Step 3: Cross multiply
    1,458.15x = 2,012.22 × 828.81
  4. Step 4: Simplify right side
    1,458.15x = 1,667,748.06
  5. Step 5: Solve for x
    x = 1,667,748.06/1,458.15
  6. Step 6: Final answer
    x = 1,143.74

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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.