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Finding the Fourth Proportional to 2,000.06, 2,999.60 and 1,025.66

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Solution

The fourth proportional to 2,000.06, 2,999.60 and 1,025.66 is: 1,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.06 : 2,999.60 = 1,025.66 : x
  2. Step 2: Convert to fraction form
    2,000.06/2,999.60 = 1,025.66/x
  3. Step 3: Cross multiply
    2,000.06x = 2,999.60 × 1,025.66
  4. Step 4: Simplify right side
    2,000.06x = 3,076,569.74
  5. Step 5: Solve for x
    x = 3,076,569.74/2,000.06
  6. Step 6: Final answer
    x = 1,538.24

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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.