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Finding the Fourth Proportional to 2,304, 3,457.60 and 936

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Solution

The fourth proportional to 2,304, 3,457.60 and 936 is: 1,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304 : 3,457.60 = 936 : x
  2. Step 2: Convert to fraction form
    2,304/3,457.60 = 936/x
  3. Step 3: Cross multiply
    2,304x = 3,457.60 × 936
  4. Step 4: Simplify right side
    2,304x = 3,236,313.60
  5. Step 5: Solve for x
    x = 3,236,313.60/2,304
  6. Step 6: Final answer
    x = 1,404.65

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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.