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Finding the Fourth Proportional to 1,815.64, 2,489.29 and 1,782.85

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Solution

The fourth proportional to 1,815.64, 2,489.29 and 1,782.85 is: 2,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.64 : 2,489.29 = 1,782.85 : x
  2. Step 2: Convert to fraction form
    1,815.64/2,489.29 = 1,782.85/x
  3. Step 3: Cross multiply
    1,815.64x = 2,489.29 × 1,782.85
  4. Step 4: Simplify right side
    1,815.64x = 4,438,030.68
  5. Step 5: Solve for x
    x = 4,438,030.68/1,815.64
  6. Step 6: Final answer
    x = 2,444.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.