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Finding the Fourth Proportional to 2,000.74, 2,999.58 and 1,652.98

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Solution

The fourth proportional to 2,000.74, 2,999.58 and 1,652.98 is: 2,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.74 : 2,999.58 = 1,652.98 : x
  2. Step 2: Convert to fraction form
    2,000.74/2,999.58 = 1,652.98/x
  3. Step 3: Cross multiply
    2,000.74x = 2,999.58 × 1,652.98
  4. Step 4: Simplify right side
    2,000.74x = 4,958,245.75
  5. Step 5: Solve for x
    x = 4,958,245.75/2,000.74
  6. Step 6: Final answer
    x = 2,478.21

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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.