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Finding the Fourth Proportional to 1,692.93, 2,336.29 and 947.07

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Solution

The fourth proportional to 1,692.93, 2,336.29 and 947.07 is: 1,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.93 : 2,336.29 = 947.07 : x
  2. Step 2: Convert to fraction form
    1,692.93/2,336.29 = 947.07/x
  3. Step 3: Cross multiply
    1,692.93x = 2,336.29 × 947.07
  4. Step 4: Simplify right side
    1,692.93x = 2,212,626.56
  5. Step 5: Solve for x
    x = 2,212,626.56/1,692.93
  6. Step 6: Final answer
    x = 1,306.98

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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.