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Finding the Fourth Proportional to 2,461.70, 3,692.85 and 901.46

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Solution

The fourth proportional to 2,461.70, 3,692.85 and 901.46 is: 1,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.70 : 3,692.85 = 901.46 : x
  2. Step 2: Convert to fraction form
    2,461.70/3,692.85 = 901.46/x
  3. Step 3: Cross multiply
    2,461.70x = 3,692.85 × 901.46
  4. Step 4: Simplify right side
    2,461.70x = 3,328,956.56
  5. Step 5: Solve for x
    x = 3,328,956.56/2,461.70
  6. Step 6: Final answer
    x = 1,352.30

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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.