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Finding the Fourth Proportional to 1,692.57, 2,338.72 and 1,466.77

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Solution

The fourth proportional to 1,692.57, 2,338.72 and 1,466.77 is: 2,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.57 : 2,338.72 = 1,466.77 : x
  2. Step 2: Convert to fraction form
    1,692.57/2,338.72 = 1,466.77/x
  3. Step 3: Cross multiply
    1,692.57x = 2,338.72 × 1,466.77
  4. Step 4: Simplify right side
    1,692.57x = 3,430,370.75
  5. Step 5: Solve for x
    x = 3,430,370.75/1,692.57
  6. Step 6: Final answer
    x = 2,026.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.