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Finding the Fourth Proportional to 2,971.76, 4,453.12 and 2,352.88

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Solution

The fourth proportional to 2,971.76, 4,453.12 and 2,352.88 is: 3,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.76 : 4,453.12 = 2,352.88 : x
  2. Step 2: Convert to fraction form
    2,971.76/4,453.12 = 2,352.88/x
  3. Step 3: Cross multiply
    2,971.76x = 4,453.12 × 2,352.88
  4. Step 4: Simplify right side
    2,971.76x = 10,477,656.99
  5. Step 5: Solve for x
    x = 10,477,656.99/2,971.76
  6. Step 6: Final answer
    x = 3,525.74

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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.