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Finding the Fourth Proportional to 1,838.37, 2,535.93 and 1,209

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Solution

The fourth proportional to 1,838.37, 2,535.93 and 1,209 is: 1,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.37 : 2,535.93 = 1,209 : x
  2. Step 2: Convert to fraction form
    1,838.37/2,535.93 = 1,209/x
  3. Step 3: Cross multiply
    1,838.37x = 2,535.93 × 1,209
  4. Step 4: Simplify right side
    1,838.37x = 3,065,939.37
  5. Step 5: Solve for x
    x = 3,065,939.37/1,838.37
  6. Step 6: Final answer
    x = 1,667.75

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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.