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Finding the Fourth Proportional to 2,032.60, 2,804.94 and 1,204.60

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Solution

The fourth proportional to 2,032.60, 2,804.94 and 1,204.60 is: 1,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.60 : 2,804.94 = 1,204.60 : x
  2. Step 2: Convert to fraction form
    2,032.60/2,804.94 = 1,204.60/x
  3. Step 3: Cross multiply
    2,032.60x = 2,804.94 × 1,204.60
  4. Step 4: Simplify right side
    2,032.60x = 3,378,830.72
  5. Step 5: Solve for x
    x = 3,378,830.72/2,032.60
  6. Step 6: Final answer
    x = 1,662.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.