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Finding the Fourth Proportional to 2,155.44, 3,233.96 and 923.16

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Solution

The fourth proportional to 2,155.44, 3,233.96 and 923.16 is: 1,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.44 : 3,233.96 = 923.16 : x
  2. Step 2: Convert to fraction form
    2,155.44/3,233.96 = 923.16/x
  3. Step 3: Cross multiply
    2,155.44x = 3,233.96 × 923.16
  4. Step 4: Simplify right side
    2,155.44x = 2,985,462.51
  5. Step 5: Solve for x
    x = 2,985,462.51/2,155.44
  6. Step 6: Final answer
    x = 1,385.08

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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.