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Finding the Fourth Proportional to 1,873.68, 2,804.42 and 994.93

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Solution

The fourth proportional to 1,873.68, 2,804.42 and 994.93 is: 1,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.68 : 2,804.42 = 994.93 : x
  2. Step 2: Convert to fraction form
    1,873.68/2,804.42 = 994.93/x
  3. Step 3: Cross multiply
    1,873.68x = 2,804.42 × 994.93
  4. Step 4: Simplify right side
    1,873.68x = 2,790,212.84
  5. Step 5: Solve for x
    x = 2,790,212.84/1,873.68
  6. Step 6: Final answer
    x = 1,489.16

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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.