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Finding the Fourth Proportional to 2,400.43, 3,600.64 and 669.06

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Solution

The fourth proportional to 2,400.43, 3,600.64 and 669.06 is: 1,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.43 : 3,600.64 = 669.06 : x
  2. Step 2: Convert to fraction form
    2,400.43/3,600.64 = 669.06/x
  3. Step 3: Cross multiply
    2,400.43x = 3,600.64 × 669.06
  4. Step 4: Simplify right side
    2,400.43x = 2,409,036.16
  5. Step 5: Solve for x
    x = 2,409,036.16/2,400.43
  6. Step 6: Final answer
    x = 1,003.58

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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.