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Finding the Fourth Proportional to 3,200.40, 4,801.59 and 1,009.16

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Solution

The fourth proportional to 3,200.40, 4,801.59 and 1,009.16 is: 1,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.40 : 4,801.59 = 1,009.16 : x
  2. Step 2: Convert to fraction form
    3,200.40/4,801.59 = 1,009.16/x
  3. Step 3: Cross multiply
    3,200.40x = 4,801.59 × 1,009.16
  4. Step 4: Simplify right side
    3,200.40x = 4,845,548.56
  5. Step 5: Solve for x
    x = 4,845,548.56/3,200.40
  6. Step 6: Final answer
    x = 1,514.04

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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.