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Finding the Fourth Proportional to 1,782.10, 2,673.16 and 483.57

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Solution

The fourth proportional to 1,782.10, 2,673.16 and 483.57 is: 725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.10 : 2,673.16 = 483.57 : x
  2. Step 2: Convert to fraction form
    1,782.10/2,673.16 = 483.57/x
  3. Step 3: Cross multiply
    1,782.10x = 2,673.16 × 483.57
  4. Step 4: Simplify right side
    1,782.10x = 1,292,659.98
  5. Step 5: Solve for x
    x = 1,292,659.98/1,782.10
  6. Step 6: Final answer
    x = 725.36

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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.