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Finding the Fourth Proportional to 2,369.16, 3,554.04 and 809.46

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Solution

The fourth proportional to 2,369.16, 3,554.04 and 809.46 is: 1,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.16 : 3,554.04 = 809.46 : x
  2. Step 2: Convert to fraction form
    2,369.16/3,554.04 = 809.46/x
  3. Step 3: Cross multiply
    2,369.16x = 3,554.04 × 809.46
  4. Step 4: Simplify right side
    2,369.16x = 2,876,853.22
  5. Step 5: Solve for x
    x = 2,876,853.22/2,369.16
  6. Step 6: Final answer
    x = 1,214.29

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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.