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Finding the Fourth Proportional to 2,004.60, 3,010.14 and 1,032.60

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Solution

The fourth proportional to 2,004.60, 3,010.14 and 1,032.60 is: 1,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.60 : 3,010.14 = 1,032.60 : x
  2. Step 2: Convert to fraction form
    2,004.60/3,010.14 = 1,032.60/x
  3. Step 3: Cross multiply
    2,004.60x = 3,010.14 × 1,032.60
  4. Step 4: Simplify right side
    2,004.60x = 3,108,270.56
  5. Step 5: Solve for x
    x = 3,108,270.56/2,004.60
  6. Step 6: Final answer
    x = 1,550.57

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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.