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Finding the Fourth Proportional to 2,688.68, 4,032.33 and 933.54

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Solution

The fourth proportional to 2,688.68, 4,032.33 and 933.54 is: 1,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.68 : 4,032.33 = 933.54 : x
  2. Step 2: Convert to fraction form
    2,688.68/4,032.33 = 933.54/x
  3. Step 3: Cross multiply
    2,688.68x = 4,032.33 × 933.54
  4. Step 4: Simplify right side
    2,688.68x = 3,764,341.35
  5. Step 5: Solve for x
    x = 3,764,341.35/2,688.68
  6. Step 6: Final answer
    x = 1,400.07

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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.