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Finding the Fourth Proportional to 2,533.40, 3,798.26 and 1,709.64

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Solution

The fourth proportional to 2,533.40, 3,798.26 and 1,709.64 is: 2,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.40 : 3,798.26 = 1,709.64 : x
  2. Step 2: Convert to fraction form
    2,533.40/3,798.26 = 1,709.64/x
  3. Step 3: Cross multiply
    2,533.40x = 3,798.26 × 1,709.64
  4. Step 4: Simplify right side
    2,533.40x = 6,493,657.23
  5. Step 5: Solve for x
    x = 6,493,657.23/2,533.40
  6. Step 6: Final answer
    x = 2,563.22

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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.