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Finding the Fourth Proportional to 2,059.64, 2,842.26 and 1,262.69

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Solution

The fourth proportional to 2,059.64, 2,842.26 and 1,262.69 is: 1,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.64 : 2,842.26 = 1,262.69 : x
  2. Step 2: Convert to fraction form
    2,059.64/2,842.26 = 1,262.69/x
  3. Step 3: Cross multiply
    2,059.64x = 2,842.26 × 1,262.69
  4. Step 4: Simplify right side
    2,059.64x = 3,588,893.28
  5. Step 5: Solve for x
    x = 3,588,893.28/2,059.64
  6. Step 6: Final answer
    x = 1,742.49

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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.