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Finding the Fourth Proportional to 2,001.68, 3,000 and 846.08

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Solution

The fourth proportional to 2,001.68, 3,000 and 846.08 is: 1,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.68 : 3,000 = 846.08 : x
  2. Step 2: Convert to fraction form
    2,001.68/3,000 = 846.08/x
  3. Step 3: Cross multiply
    2,001.68x = 3,000 × 846.08
  4. Step 4: Simplify right side
    2,001.68x = 2,538,240
  5. Step 5: Solve for x
    x = 2,538,240/2,001.68
  6. Step 6: Final answer
    x = 1,268.05

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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.