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Finding the Fourth Proportional to 3,162.58, 4,744.48 and 1,312.70

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Solution

The fourth proportional to 3,162.58, 4,744.48 and 1,312.70 is: 1,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.58 : 4,744.48 = 1,312.70 : x
  2. Step 2: Convert to fraction form
    3,162.58/4,744.48 = 1,312.70/x
  3. Step 3: Cross multiply
    3,162.58x = 4,744.48 × 1,312.70
  4. Step 4: Simplify right side
    3,162.58x = 6,228,078.90
  5. Step 5: Solve for x
    x = 6,228,078.90/3,162.58
  6. Step 6: Final answer
    x = 1,969.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.