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Finding the Fourth Proportional to 1,639.76, 2,261.76 and 1,289.84

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Solution

The fourth proportional to 1,639.76, 2,261.76 and 1,289.84 is: 1,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.76 : 2,261.76 = 1,289.84 : x
  2. Step 2: Convert to fraction form
    1,639.76/2,261.76 = 1,289.84/x
  3. Step 3: Cross multiply
    1,639.76x = 2,261.76 × 1,289.84
  4. Step 4: Simplify right side
    1,639.76x = 2,917,308.52
  5. Step 5: Solve for x
    x = 2,917,308.52/1,639.76
  6. Step 6: Final answer
    x = 1,779.11

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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.