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Finding the Fourth Proportional to 1,782.34, 2,673.89 and 904.96

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Solution

The fourth proportional to 1,782.34, 2,673.89 and 904.96 is: 1,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.34 : 2,673.89 = 904.96 : x
  2. Step 2: Convert to fraction form
    1,782.34/2,673.89 = 904.96/x
  3. Step 3: Cross multiply
    1,782.34x = 2,673.89 × 904.96
  4. Step 4: Simplify right side
    1,782.34x = 2,419,748.12
  5. Step 5: Solve for x
    x = 2,419,748.12/1,782.34
  6. Step 6: Final answer
    x = 1,357.63

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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.