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Finding the Fourth Proportional to 2,000.68, 2,746.25 and 1,774.69

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Solution

The fourth proportional to 2,000.68, 2,746.25 and 1,774.69 is: 2,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.68 : 2,746.25 = 1,774.69 : x
  2. Step 2: Convert to fraction form
    2,000.68/2,746.25 = 1,774.69/x
  3. Step 3: Cross multiply
    2,000.68x = 2,746.25 × 1,774.69
  4. Step 4: Simplify right side
    2,000.68x = 4,873,742.41
  5. Step 5: Solve for x
    x = 4,873,742.41/2,000.68
  6. Step 6: Final answer
    x = 2,436.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.