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Finding the Fourth Proportional to 2,461.90, 3,692.86 and 730.53

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Solution

The fourth proportional to 2,461.90, 3,692.86 and 730.53 is: 1,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.90 : 3,692.86 = 730.53 : x
  2. Step 2: Convert to fraction form
    2,461.90/3,692.86 = 730.53/x
  3. Step 3: Cross multiply
    2,461.90x = 3,692.86 × 730.53
  4. Step 4: Simplify right side
    2,461.90x = 2,697,732.80
  5. Step 5: Solve for x
    x = 2,697,732.80/2,461.90
  6. Step 6: Final answer
    x = 1,095.79

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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.