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Finding the Fourth Proportional to 1,763.81, 2,652.20 and 1,692.53

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Solution

The fourth proportional to 1,763.81, 2,652.20 and 1,692.53 is: 2,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.81 : 2,652.20 = 1,692.53 : x
  2. Step 2: Convert to fraction form
    1,763.81/2,652.20 = 1,692.53/x
  3. Step 3: Cross multiply
    1,763.81x = 2,652.20 × 1,692.53
  4. Step 4: Simplify right side
    1,763.81x = 4,488,919.60
  5. Step 5: Solve for x
    x = 4,488,919.60/1,763.81
  6. Step 6: Final answer
    x = 2,545.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.