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Finding the Fourth Proportional to 2,032.54, 2,804.87 and 1,148.31

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Solution

The fourth proportional to 2,032.54, 2,804.87 and 1,148.31 is: 1,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.54 : 2,804.87 = 1,148.31 : x
  2. Step 2: Convert to fraction form
    2,032.54/2,804.87 = 1,148.31/x
  3. Step 3: Cross multiply
    2,032.54x = 2,804.87 × 1,148.31
  4. Step 4: Simplify right side
    2,032.54x = 3,220,863.14
  5. Step 5: Solve for x
    x = 3,220,863.14/2,032.54
  6. Step 6: Final answer
    x = 1,584.65

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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.