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Finding the Fourth Proportional to 3,256.76, 4,494.29 and 1,764.65

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Solution

The fourth proportional to 3,256.76, 4,494.29 and 1,764.65 is: 2,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.76 : 4,494.29 = 1,764.65 : x
  2. Step 2: Convert to fraction form
    3,256.76/4,494.29 = 1,764.65/x
  3. Step 3: Cross multiply
    3,256.76x = 4,494.29 × 1,764.65
  4. Step 4: Simplify right side
    3,256.76x = 7,930,851.26
  5. Step 5: Solve for x
    x = 7,930,851.26/3,256.76
  6. Step 6: Final answer
    x = 2,435.20

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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.