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Finding the Fourth Proportional to 1,782.18, 2,453.85 and 1,559.79

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Solution

The fourth proportional to 1,782.18, 2,453.85 and 1,559.79 is: 2,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.18 : 2,453.85 = 1,559.79 : x
  2. Step 2: Convert to fraction form
    1,782.18/2,453.85 = 1,559.79/x
  3. Step 3: Cross multiply
    1,782.18x = 2,453.85 × 1,559.79
  4. Step 4: Simplify right side
    1,782.18x = 3,827,490.69
  5. Step 5: Solve for x
    x = 3,827,490.69/1,782.18
  6. Step 6: Final answer
    x = 2,147.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.