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Finding the Fourth Proportional to 2,533.70, 3,792.45 and 1,804.70

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Solution

The fourth proportional to 2,533.70, 3,792.45 and 1,804.70 is: 2,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.70 : 3,792.45 = 1,804.70 : x
  2. Step 2: Convert to fraction form
    2,533.70/3,792.45 = 1,804.70/x
  3. Step 3: Cross multiply
    2,533.70x = 3,792.45 × 1,804.70
  4. Step 4: Simplify right side
    2,533.70x = 6,844,234.52
  5. Step 5: Solve for x
    x = 6,844,234.52/2,533.70
  6. Step 6: Final answer
    x = 2,701.28

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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.