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Finding the Fourth Proportional to 3,071.76, 4,608.12 and 1,020.24

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Solution

The fourth proportional to 3,071.76, 4,608.12 and 1,020.24 is: 1,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.76 : 4,608.12 = 1,020.24 : x
  2. Step 2: Convert to fraction form
    3,071.76/4,608.12 = 1,020.24/x
  3. Step 3: Cross multiply
    3,071.76x = 4,608.12 × 1,020.24
  4. Step 4: Simplify right side
    3,071.76x = 4,701,388.35
  5. Step 5: Solve for x
    x = 4,701,388.35/3,071.76
  6. Step 6: Final answer
    x = 1,530.52

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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.