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Finding the Fourth Proportional to 1,335.69, 2,005.83 and 1,266.45

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Solution

The fourth proportional to 1,335.69, 2,005.83 and 1,266.45 is: 1,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.69 : 2,005.83 = 1,266.45 : x
  2. Step 2: Convert to fraction form
    1,335.69/2,005.83 = 1,266.45/x
  3. Step 3: Cross multiply
    1,335.69x = 2,005.83 × 1,266.45
  4. Step 4: Simplify right side
    1,335.69x = 2,540,283.40
  5. Step 5: Solve for x
    x = 2,540,283.40/1,335.69
  6. Step 6: Final answer
    x = 1,901.85

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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.