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Finding the Fourth Proportional to 2,041.42, 3,062.12 and 809.40

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Solution

The fourth proportional to 2,041.42, 3,062.12 and 809.40 is: 1,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.42 : 3,062.12 = 809.40 : x
  2. Step 2: Convert to fraction form
    2,041.42/3,062.12 = 809.40/x
  3. Step 3: Cross multiply
    2,041.42x = 3,062.12 × 809.40
  4. Step 4: Simplify right side
    2,041.42x = 2,478,479.93
  5. Step 5: Solve for x
    x = 2,478,479.93/2,041.42
  6. Step 6: Final answer
    x = 1,214.10

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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.