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Finding the Fourth Proportional to 1,692.57, 2,335.01 and 993.63

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Solution

The fourth proportional to 1,692.57, 2,335.01 and 993.63 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.57 : 2,335.01 = 993.63 : x
  2. Step 2: Convert to fraction form
    1,692.57/2,335.01 = 993.63/x
  3. Step 3: Cross multiply
    1,692.57x = 2,335.01 × 993.63
  4. Step 4: Simplify right side
    1,692.57x = 2,320,131.02
  5. Step 5: Solve for x
    x = 2,320,131.02/1,692.57
  6. Step 6: Final answer
    x = 1,370.77

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1.5x scale

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.