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Finding the Fourth Proportional to 2,000.02, 2,997.60 and 904.09

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Solution

The fourth proportional to 2,000.02, 2,997.60 and 904.09 is: 1,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.02 : 2,997.60 = 904.09 : x
  2. Step 2: Convert to fraction form
    2,000.02/2,997.60 = 904.09/x
  3. Step 3: Cross multiply
    2,000.02x = 2,997.60 × 904.09
  4. Step 4: Simplify right side
    2,000.02x = 2,710,100.18
  5. Step 5: Solve for x
    x = 2,710,100.18/2,000.02
  6. Step 6: Final answer
    x = 1,355.04

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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.