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Finding the Fourth Proportional to 3,009.02, 4,513.71 and 1,159.88

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Solution

The fourth proportional to 3,009.02, 4,513.71 and 1,159.88 is: 1,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.02 : 4,513.71 = 1,159.88 : x
  2. Step 2: Convert to fraction form
    3,009.02/4,513.71 = 1,159.88/x
  3. Step 3: Cross multiply
    3,009.02x = 4,513.71 × 1,159.88
  4. Step 4: Simplify right side
    3,009.02x = 5,235,361.95
  5. Step 5: Solve for x
    x = 5,235,361.95/3,009.02
  6. Step 6: Final answer
    x = 1,739.89

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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.