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Finding the Fourth Proportional to 3,256.34, 4,883.60 and 1,065.20

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Solution

The fourth proportional to 3,256.34, 4,883.60 and 1,065.20 is: 1,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.34 : 4,883.60 = 1,065.20 : x
  2. Step 2: Convert to fraction form
    3,256.34/4,883.60 = 1,065.20/x
  3. Step 3: Cross multiply
    3,256.34x = 4,883.60 × 1,065.20
  4. Step 4: Simplify right side
    3,256.34x = 5,202,010.72
  5. Step 5: Solve for x
    x = 5,202,010.72/3,256.34
  6. Step 6: Final answer
    x = 1,597.50

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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.