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Finding the Fourth Proportional to 3,184.93, 4,395.47 and 1,768.89

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Solution

The fourth proportional to 3,184.93, 4,395.47 and 1,768.89 is: 2,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.93 : 4,395.47 = 1,768.89 : x
  2. Step 2: Convert to fraction form
    3,184.93/4,395.47 = 1,768.89/x
  3. Step 3: Cross multiply
    3,184.93x = 4,395.47 × 1,768.89
  4. Step 4: Simplify right side
    3,184.93x = 7,775,085.37
  5. Step 5: Solve for x
    x = 7,775,085.37/3,184.93
  6. Step 6: Final answer
    x = 2,441.21

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