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Finding the Fourth Proportional to 3,162.58, 4,744.01 and 971.40

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Solution

The fourth proportional to 3,162.58, 4,744.01 and 971.40 is: 1,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.58 : 4,744.01 = 971.40 : x
  2. Step 2: Convert to fraction form
    3,162.58/4,744.01 = 971.40/x
  3. Step 3: Cross multiply
    3,162.58x = 4,744.01 × 971.40
  4. Step 4: Simplify right side
    3,162.58x = 4,608,331.31
  5. Step 5: Solve for x
    x = 4,608,331.31/3,162.58
  6. Step 6: Final answer
    x = 1,457.14

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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.