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Finding the Fourth Proportional to 1,815.83, 2,723.28 and 775.31

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Solution

The fourth proportional to 1,815.83, 2,723.28 and 775.31 is: 1,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.83 : 2,723.28 = 775.31 : x
  2. Step 2: Convert to fraction form
    1,815.83/2,723.28 = 775.31/x
  3. Step 3: Cross multiply
    1,815.83x = 2,723.28 × 775.31
  4. Step 4: Simplify right side
    1,815.83x = 2,111,386.22
  5. Step 5: Solve for x
    x = 2,111,386.22/1,815.83
  6. Step 6: Final answer
    x = 1,162.77

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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.