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Finding the Fourth Proportional to 1,782.83, 2,674.38 and 686.99

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Solution

The fourth proportional to 1,782.83, 2,674.38 and 686.99 is: 1,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.83 : 2,674.38 = 686.99 : x
  2. Step 2: Convert to fraction form
    1,782.83/2,674.38 = 686.99/x
  3. Step 3: Cross multiply
    1,782.83x = 2,674.38 × 686.99
  4. Step 4: Simplify right side
    1,782.83x = 1,837,258.94
  5. Step 5: Solve for x
    x = 1,837,258.94/1,782.83
  6. Step 6: Final answer
    x = 1,030.53

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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.