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Finding the Fourth Proportional to 3,203.04, 4,801.84 and 1,355.60

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Solution

The fourth proportional to 3,203.04, 4,801.84 and 1,355.60 is: 2,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.04 : 4,801.84 = 1,355.60 : x
  2. Step 2: Convert to fraction form
    3,203.04/4,801.84 = 1,355.60/x
  3. Step 3: Cross multiply
    3,203.04x = 4,801.84 × 1,355.60
  4. Step 4: Simplify right side
    3,203.04x = 6,509,374.30
  5. Step 5: Solve for x
    x = 6,509,374.30/3,203.04
  6. Step 6: Final answer
    x = 2,032.25

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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.