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Finding the Fourth Proportional to 2,525.64, 3,788.41 and 676.76

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Solution

The fourth proportional to 2,525.64, 3,788.41 and 676.76 is: 1,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.64 : 3,788.41 = 676.76 : x
  2. Step 2: Convert to fraction form
    2,525.64/3,788.41 = 676.76/x
  3. Step 3: Cross multiply
    2,525.64x = 3,788.41 × 676.76
  4. Step 4: Simplify right side
    2,525.64x = 2,563,844.35
  5. Step 5: Solve for x
    x = 2,563,844.35/2,525.64
  6. Step 6: Final answer
    x = 1,015.13

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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.