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Finding the Fourth Proportional to 1,461.80, 2,193.82 and 998.60

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Solution

The fourth proportional to 1,461.80, 2,193.82 and 998.60 is: 1,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.80 : 2,193.82 = 998.60 : x
  2. Step 2: Convert to fraction form
    1,461.80/2,193.82 = 998.60/x
  3. Step 3: Cross multiply
    1,461.80x = 2,193.82 × 998.60
  4. Step 4: Simplify right side
    1,461.80x = 2,190,748.65
  5. Step 5: Solve for x
    x = 2,190,748.65/1,461.80
  6. Step 6: Final answer
    x = 1,498.67

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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.