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Finding the Fourth Proportional to 2,688.08, 4,032.64 and 839.44

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Solution

The fourth proportional to 2,688.08, 4,032.64 and 839.44 is: 1,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.08 : 4,032.64 = 839.44 : x
  2. Step 2: Convert to fraction form
    2,688.08/4,032.64 = 839.44/x
  3. Step 3: Cross multiply
    2,688.08x = 4,032.64 × 839.44
  4. Step 4: Simplify right side
    2,688.08x = 3,385,159.32
  5. Step 5: Solve for x
    x = 3,385,159.32/2,688.08
  6. Step 6: Final answer
    x = 1,259.32

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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.