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Finding the Fourth Proportional to 2,000.40, 2,999.16 and 1,423.68

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Solution

The fourth proportional to 2,000.40, 2,999.16 and 1,423.68 is: 2,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.40 : 2,999.16 = 1,423.68 : x
  2. Step 2: Convert to fraction form
    2,000.40/2,999.16 = 1,423.68/x
  3. Step 3: Cross multiply
    2,000.40x = 2,999.16 × 1,423.68
  4. Step 4: Simplify right side
    2,000.40x = 4,269,844.11
  5. Step 5: Solve for x
    x = 4,269,844.11/2,000.40
  6. Step 6: Final answer
    x = 2,134.50

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1.5x scale

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.