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Finding the Fourth Proportional to 4,614.81, 6,918.10 and 1,692.44

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Solution

The fourth proportional to 4,614.81, 6,918.10 and 1,692.44 is: 2,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.81 : 6,918.10 = 1,692.44 : x
  2. Step 2: Convert to fraction form
    4,614.81/6,918.10 = 1,692.44/x
  3. Step 3: Cross multiply
    4,614.81x = 6,918.10 × 1,692.44
  4. Step 4: Simplify right side
    4,614.81x = 11,708,430.34
  5. Step 5: Solve for x
    x = 11,708,430.34/4,614.81
  6. Step 6: Final answer
    x = 2,537.14

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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.