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Finding the Fourth Proportional to 2,533.48, 3,804.43 and 1,565.73

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Solution

The fourth proportional to 2,533.48, 3,804.43 and 1,565.73 is: 2,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.48 : 3,804.43 = 1,565.73 : x
  2. Step 2: Convert to fraction form
    2,533.48/3,804.43 = 1,565.73/x
  3. Step 3: Cross multiply
    2,533.48x = 3,804.43 × 1,565.73
  4. Step 4: Simplify right side
    2,533.48x = 5,956,703.47
  5. Step 5: Solve for x
    x = 5,956,703.47/2,533.48
  6. Step 6: Final answer
    x = 2,351.20

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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.