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Finding the Fourth Proportional to 1,692.97, 2,535.51 and 1,646.26

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Solution

The fourth proportional to 1,692.97, 2,535.51 and 1,646.26 is: 2,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.97 : 2,535.51 = 1,646.26 : x
  2. Step 2: Convert to fraction form
    1,692.97/2,535.51 = 1,646.26/x
  3. Step 3: Cross multiply
    1,692.97x = 2,535.51 × 1,646.26
  4. Step 4: Simplify right side
    1,692.97x = 4,174,108.69
  5. Step 5: Solve for x
    x = 4,174,108.69/1,692.97
  6. Step 6: Final answer
    x = 2,465.55

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1.5x scale

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.