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Finding the Fourth Proportional to 2,461.60, 3,692.40 and 1,586.80

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Solution

The fourth proportional to 2,461.60, 3,692.40 and 1,586.80 is: 2,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.60 : 3,692.40 = 1,586.80 : x
  2. Step 2: Convert to fraction form
    2,461.60/3,692.40 = 1,586.80/x
  3. Step 3: Cross multiply
    2,461.60x = 3,692.40 × 1,586.80
  4. Step 4: Simplify right side
    2,461.60x = 5,859,100.32
  5. Step 5: Solve for x
    x = 5,859,100.32/2,461.60
  6. Step 6: Final answer
    x = 2,380.20

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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.