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Finding the Fourth Proportional to 2,304.93, 3,457.44 and 918.93

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Solution

The fourth proportional to 2,304.93, 3,457.44 and 918.93 is: 1,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.93 : 3,457.44 = 918.93 : x
  2. Step 2: Convert to fraction form
    2,304.93/3,457.44 = 918.93/x
  3. Step 3: Cross multiply
    2,304.93x = 3,457.44 × 918.93
  4. Step 4: Simplify right side
    2,304.93x = 3,177,145.34
  5. Step 5: Solve for x
    x = 3,177,145.34/2,304.93
  6. Step 6: Final answer
    x = 1,378.41

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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.