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Finding the Fourth Proportional to 1,835.99, 2,533.69 and 996.70

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Solution

The fourth proportional to 1,835.99, 2,533.69 and 996.70 is: 1,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.99 : 2,533.69 = 996.70 : x
  2. Step 2: Convert to fraction form
    1,835.99/2,533.69 = 996.70/x
  3. Step 3: Cross multiply
    1,835.99x = 2,533.69 × 996.70
  4. Step 4: Simplify right side
    1,835.99x = 2,525,328.82
  5. Step 5: Solve for x
    x = 2,525,328.82/1,835.99
  6. Step 6: Final answer
    x = 1,375.46

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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.