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Finding the Fourth Proportional to 1,838.40, 2,751.24 and 1,135.32

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Solution

The fourth proportional to 1,838.40, 2,751.24 and 1,135.32 is: 1,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.40 : 2,751.24 = 1,135.32 : x
  2. Step 2: Convert to fraction form
    1,838.40/2,751.24 = 1,135.32/x
  3. Step 3: Cross multiply
    1,838.40x = 2,751.24 × 1,135.32
  4. Step 4: Simplify right side
    1,838.40x = 3,123,532.12
  5. Step 5: Solve for x
    x = 3,123,532.12/1,838.40
  6. Step 6: Final answer
    x = 1,699.05

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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.