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Finding the Fourth Proportional to 1,835.94, 2,533.42 and 1,089.78

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Solution

The fourth proportional to 1,835.94, 2,533.42 and 1,089.78 is: 1,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.94 : 2,533.42 = 1,089.78 : x
  2. Step 2: Convert to fraction form
    1,835.94/2,533.42 = 1,089.78/x
  3. Step 3: Cross multiply
    1,835.94x = 2,533.42 × 1,089.78
  4. Step 4: Simplify right side
    1,835.94x = 2,760,870.45
  5. Step 5: Solve for x
    x = 2,760,870.45/1,835.94
  6. Step 6: Final answer
    x = 1,503.79

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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.