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Finding the Fourth Proportional to 3,065.44, 4,596.72 and 1,012

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Solution

The fourth proportional to 3,065.44, 4,596.72 and 1,012 is: 1,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.44 : 4,596.72 = 1,012 : x
  2. Step 2: Convert to fraction form
    3,065.44/4,596.72 = 1,012/x
  3. Step 3: Cross multiply
    3,065.44x = 4,596.72 × 1,012
  4. Step 4: Simplify right side
    3,065.44x = 4,651,880.64
  5. Step 5: Solve for x
    x = 4,651,880.64/3,065.44
  6. Step 6: Final answer
    x = 1,517.52

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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.