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Finding the Fourth Proportional to 2,533.34, 3,797.58 and 972.20

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Solution

The fourth proportional to 2,533.34, 3,797.58 and 972.20 is: 1,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.34 : 3,797.58 = 972.20 : x
  2. Step 2: Convert to fraction form
    2,533.34/3,797.58 = 972.20/x
  3. Step 3: Cross multiply
    2,533.34x = 3,797.58 × 972.20
  4. Step 4: Simplify right side
    2,533.34x = 3,692,007.28
  5. Step 5: Solve for x
    x = 3,692,007.28/2,533.34
  6. Step 6: Final answer
    x = 1,457.37

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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.