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Finding the Fourth Proportional to 1,692.47, 2,335.23 and 984.08

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Solution

The fourth proportional to 1,692.47, 2,335.23 and 984.08 is: 1,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.47 : 2,335.23 = 984.08 : x
  2. Step 2: Convert to fraction form
    1,692.47/2,335.23 = 984.08/x
  3. Step 3: Cross multiply
    1,692.47x = 2,335.23 × 984.08
  4. Step 4: Simplify right side
    1,692.47x = 2,298,053.14
  5. Step 5: Solve for x
    x = 2,298,053.14/1,692.47
  6. Step 6: Final answer
    x = 1,357.81

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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.