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Finding the Fourth Proportional to 2,533.79, 3,799.96 and 973.69

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Solution

The fourth proportional to 2,533.79, 3,799.96 and 973.69 is: 1,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.79 : 3,799.96 = 973.69 : x
  2. Step 2: Convert to fraction form
    2,533.79/3,799.96 = 973.69/x
  3. Step 3: Cross multiply
    2,533.79x = 3,799.96 × 973.69
  4. Step 4: Simplify right side
    2,533.79x = 3,699,983.05
  5. Step 5: Solve for x
    x = 3,699,983.05/2,533.79
  6. Step 6: Final answer
    x = 1,460.26

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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.