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Finding the Fourth Proportional to 1,815.57, 2,489.15 and 1,782.77

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Solution

The fourth proportional to 1,815.57, 2,489.15 and 1,782.77 is: 2,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.57 : 2,489.15 = 1,782.77 : x
  2. Step 2: Convert to fraction form
    1,815.57/2,489.15 = 1,782.77/x
  3. Step 3: Cross multiply
    1,815.57x = 2,489.15 × 1,782.77
  4. Step 4: Simplify right side
    1,815.57x = 4,437,573.96
  5. Step 5: Solve for x
    x = 4,437,573.96/1,815.57
  6. Step 6: Final answer
    x = 2,444.18

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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.