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Finding the Fourth Proportional to 2,594.00, 3,575.45 and 1,838.03

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Solution

The fourth proportional to 2,594.00, 3,575.45 and 1,838.03 is: 2,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.00 : 3,575.45 = 1,838.03 : x
  2. Step 2: Convert to fraction form
    2,594.00/3,575.45 = 1,838.03/x
  3. Step 3: Cross multiply
    2,594.00x = 3,575.45 × 1,838.03
  4. Step 4: Simplify right side
    2,594.00x = 6,571,791.05
  5. Step 5: Solve for x
    x = 6,571,791.05/2,594.00
  6. Step 6: Final answer
    x = 2,533.46

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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.