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Finding the Fourth Proportional to 2,133.84, 3,200.86 and 1,036.89

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Solution

The fourth proportional to 2,133.84, 3,200.86 and 1,036.89 is: 1,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.84 : 3,200.86 = 1,036.89 : x
  2. Step 2: Convert to fraction form
    2,133.84/3,200.86 = 1,036.89/x
  3. Step 3: Cross multiply
    2,133.84x = 3,200.86 × 1,036.89
  4. Step 4: Simplify right side
    2,133.84x = 3,318,947.19
  5. Step 5: Solve for x
    x = 3,318,947.19/2,133.84
  6. Step 6: Final answer
    x = 1,555.39

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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.