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Finding the Fourth Proportional to 3,074.51, 4,611.27 and 882.74

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Solution

The fourth proportional to 3,074.51, 4,611.27 and 882.74 is: 1,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.51 : 4,611.27 = 882.74 : x
  2. Step 2: Convert to fraction form
    3,074.51/4,611.27 = 882.74/x
  3. Step 3: Cross multiply
    3,074.51x = 4,611.27 × 882.74
  4. Step 4: Simplify right side
    3,074.51x = 4,070,567.32
  5. Step 5: Solve for x
    x = 4,070,567.32/3,074.51
  6. Step 6: Final answer
    x = 1,323.97

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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.