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Finding the Fourth Proportional to 2,041.94, 3,062.00 and 946.62

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Solution

The fourth proportional to 2,041.94, 3,062.00 and 946.62 is: 1,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.94 : 3,062.00 = 946.62 : x
  2. Step 2: Convert to fraction form
    2,041.94/3,062.00 = 946.62/x
  3. Step 3: Cross multiply
    2,041.94x = 3,062.00 × 946.62
  4. Step 4: Simplify right side
    2,041.94x = 2,898,552.81
  5. Step 5: Solve for x
    x = 2,898,552.81/2,041.94
  6. Step 6: Final answer
    x = 1,419.51

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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.