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Finding the Fourth Proportional to 2,000.29, 2,763.08 and 1,813.99

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Solution

The fourth proportional to 2,000.29, 2,763.08 and 1,813.99 is: 2,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.29 : 2,763.08 = 1,813.99 : x
  2. Step 2: Convert to fraction form
    2,000.29/2,763.08 = 1,813.99/x
  3. Step 3: Cross multiply
    2,000.29x = 2,763.08 × 1,813.99
  4. Step 4: Simplify right side
    2,000.29x = 5,012,199.49
  5. Step 5: Solve for x
    x = 5,012,199.49/2,000.29
  6. Step 6: Final answer
    x = 2,505.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.