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Finding the Fourth Proportional to 2,364.93, 3,544.91 and 803.45

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Solution

The fourth proportional to 2,364.93, 3,544.91 and 803.45 is: 1,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.93 : 3,544.91 = 803.45 : x
  2. Step 2: Convert to fraction form
    2,364.93/3,544.91 = 803.45/x
  3. Step 3: Cross multiply
    2,364.93x = 3,544.91 × 803.45
  4. Step 4: Simplify right side
    2,364.93x = 2,848,136.20
  5. Step 5: Solve for x
    x = 2,848,136.20/2,364.93
  6. Step 6: Final answer
    x = 1,204.32

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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.