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Finding the Fourth Proportional to 2,688.75, 4,032.16 and 933.28

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Solution

The fourth proportional to 2,688.75, 4,032.16 and 933.28 is: 1,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.75 : 4,032.16 = 933.28 : x
  2. Step 2: Convert to fraction form
    2,688.75/4,032.16 = 933.28/x
  3. Step 3: Cross multiply
    2,688.75x = 4,032.16 × 933.28
  4. Step 4: Simplify right side
    2,688.75x = 3,763,109.46
  5. Step 5: Solve for x
    x = 3,763,109.46/2,688.75
  6. Step 6: Final answer
    x = 1,399.58

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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.