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Finding the Fourth Proportional to 1,838.88, 2,536.76 and 1,280.64

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Solution

The fourth proportional to 1,838.88, 2,536.76 and 1,280.64 is: 1,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.88 : 2,536.76 = 1,280.64 : x
  2. Step 2: Convert to fraction form
    1,838.88/2,536.76 = 1,280.64/x
  3. Step 3: Cross multiply
    1,838.88x = 2,536.76 × 1,280.64
  4. Step 4: Simplify right side
    1,838.88x = 3,248,676.33
  5. Step 5: Solve for x
    x = 3,248,676.33/1,838.88
  6. Step 6: Final answer
    x = 1,766.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.