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Finding the Fourth Proportional to 2,057.86, 2,839.68 and 1,173.64

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Solution

The fourth proportional to 2,057.86, 2,839.68 and 1,173.64 is: 1,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.86 : 2,839.68 = 1,173.64 : x
  2. Step 2: Convert to fraction form
    2,057.86/2,839.68 = 1,173.64/x
  3. Step 3: Cross multiply
    2,057.86x = 2,839.68 × 1,173.64
  4. Step 4: Simplify right side
    2,057.86x = 3,332,762.04
  5. Step 5: Solve for x
    x = 3,332,762.04/2,057.86
  6. Step 6: Final answer
    x = 1,619.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.