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Finding the Fourth Proportional to 3,133.06, 4,698.08 and 1,184.02

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Solution

The fourth proportional to 3,133.06, 4,698.08 and 1,184.02 is: 1,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.06 : 4,698.08 = 1,184.02 : x
  2. Step 2: Convert to fraction form
    3,133.06/4,698.08 = 1,184.02/x
  3. Step 3: Cross multiply
    3,133.06x = 4,698.08 × 1,184.02
  4. Step 4: Simplify right side
    3,133.06x = 5,562,620.68
  5. Step 5: Solve for x
    x = 5,562,620.68/3,133.06
  6. Step 6: Final answer
    x = 1,775.46

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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.