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Finding the Fourth Proportional to 1,855.69, 2,781.90 and 700.63

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Solution

The fourth proportional to 1,855.69, 2,781.90 and 700.63 is: 1,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.69 : 2,781.90 = 700.63 : x
  2. Step 2: Convert to fraction form
    1,855.69/2,781.90 = 700.63/x
  3. Step 3: Cross multiply
    1,855.69x = 2,781.90 × 700.63
  4. Step 4: Simplify right side
    1,855.69x = 1,949,082.60
  5. Step 5: Solve for x
    x = 1,949,082.60/1,855.69
  6. Step 6: Final answer
    x = 1,050.33

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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.