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Finding the Fourth Proportional to 2,533.06, 3,798.99 and 972.52

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Solution

The fourth proportional to 2,533.06, 3,798.99 and 972.52 is: 1,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.06 : 3,798.99 = 972.52 : x
  2. Step 2: Convert to fraction form
    2,533.06/3,798.99 = 972.52/x
  3. Step 3: Cross multiply
    2,533.06x = 3,798.99 × 972.52
  4. Step 4: Simplify right side
    2,533.06x = 3,694,593.75
  5. Step 5: Solve for x
    x = 3,694,593.75/2,533.06
  6. Step 6: Final answer
    x = 1,458.55

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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.