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Finding the Fourth Proportional to 2,495.00, 3,742.46 and 763.58

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Solution

The fourth proportional to 2,495.00, 3,742.46 and 763.58 is: 1,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.00 : 3,742.46 = 763.58 : x
  2. Step 2: Convert to fraction form
    2,495.00/3,742.46 = 763.58/x
  3. Step 3: Cross multiply
    2,495.00x = 3,742.46 × 763.58
  4. Step 4: Simplify right side
    2,495.00x = 2,857,676.01
  5. Step 5: Solve for x
    x = 2,857,676.01/2,495.00
  6. Step 6: Final answer
    x = 1,145.36

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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.