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Finding the Fourth Proportional to 2,533.96, 3,798.24 and 973.54

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Solution

The fourth proportional to 2,533.96, 3,798.24 and 973.54 is: 1,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.96 : 3,798.24 = 973.54 : x
  2. Step 2: Convert to fraction form
    2,533.96/3,798.24 = 973.54/x
  3. Step 3: Cross multiply
    2,533.96x = 3,798.24 × 973.54
  4. Step 4: Simplify right side
    2,533.96x = 3,697,738.57
  5. Step 5: Solve for x
    x = 3,697,738.57/2,533.96
  6. Step 6: Final answer
    x = 1,459.27

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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.