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Finding the Fourth Proportional to 1,998.32, 2,995.65 and 1,692.14

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Solution

The fourth proportional to 1,998.32, 2,995.65 and 1,692.14 is: 2,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.32 : 2,995.65 = 1,692.14 : x
  2. Step 2: Convert to fraction form
    1,998.32/2,995.65 = 1,692.14/x
  3. Step 3: Cross multiply
    1,998.32x = 2,995.65 × 1,692.14
  4. Step 4: Simplify right side
    1,998.32x = 5,069,044.21
  5. Step 5: Solve for x
    x = 5,069,044.21/1,998.32
  6. Step 6: Final answer
    x = 2,536.66

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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.