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Finding the Fourth Proportional to 2,446.38, 3,669.53 and 803.00

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Solution

The fourth proportional to 2,446.38, 3,669.53 and 803.00 is: 1,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.38 : 3,669.53 = 803.00 : x
  2. Step 2: Convert to fraction form
    2,446.38/3,669.53 = 803.00/x
  3. Step 3: Cross multiply
    2,446.38x = 3,669.53 × 803.00
  4. Step 4: Simplify right side
    2,446.38x = 2,946,610.23
  5. Step 5: Solve for x
    x = 2,946,610.23/2,446.38
  6. Step 6: Final answer
    x = 1,204.48

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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.