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Finding the Fourth Proportional to 1,789.65, 2,681.28 and 813.69

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Solution

The fourth proportional to 1,789.65, 2,681.28 and 813.69 is: 1,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.65 : 2,681.28 = 813.69 : x
  2. Step 2: Convert to fraction form
    1,789.65/2,681.28 = 813.69/x
  3. Step 3: Cross multiply
    1,789.65x = 2,681.28 × 813.69
  4. Step 4: Simplify right side
    1,789.65x = 2,181,730.72
  5. Step 5: Solve for x
    x = 2,181,730.72/1,789.65
  6. Step 6: Final answer
    x = 1,219.08

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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.