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Finding the Fourth Proportional to 2,298.84, 3,448.26 and 1,202.64

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Solution

The fourth proportional to 2,298.84, 3,448.26 and 1,202.64 is: 1,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.84 : 3,448.26 = 1,202.64 : x
  2. Step 2: Convert to fraction form
    2,298.84/3,448.26 = 1,202.64/x
  3. Step 3: Cross multiply
    2,298.84x = 3,448.26 × 1,202.64
  4. Step 4: Simplify right side
    2,298.84x = 4,147,015.41
  5. Step 5: Solve for x
    x = 4,147,015.41/2,298.84
  6. Step 6: Final answer
    x = 1,803.96

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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.