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Finding the Fourth Proportional to 1,461.87, 2,193.18 and 813.06

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Solution

The fourth proportional to 1,461.87, 2,193.18 and 813.06 is: 1,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.87 : 2,193.18 = 813.06 : x
  2. Step 2: Convert to fraction form
    1,461.87/2,193.18 = 813.06/x
  3. Step 3: Cross multiply
    1,461.87x = 2,193.18 × 813.06
  4. Step 4: Simplify right side
    1,461.87x = 1,783,186.93
  5. Step 5: Solve for x
    x = 1,783,186.93/1,461.87
  6. Step 6: Final answer
    x = 1,219.80

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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.