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Finding the Fourth Proportional to 3,162.88, 4,744.17 and 971.63

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Solution

The fourth proportional to 3,162.88, 4,744.17 and 971.63 is: 1,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.88 : 4,744.17 = 971.63 : x
  2. Step 2: Convert to fraction form
    3,162.88/4,744.17 = 971.63/x
  3. Step 3: Cross multiply
    3,162.88x = 4,744.17 × 971.63
  4. Step 4: Simplify right side
    3,162.88x = 4,609,577.90
  5. Step 5: Solve for x
    x = 4,609,577.90/3,162.88
  6. Step 6: Final answer
    x = 1,457.40

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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.