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Finding the Fourth Proportional to 3,166.27, 4,746.43 and 1,316.19

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Solution

The fourth proportional to 3,166.27, 4,746.43 and 1,316.19 is: 1,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.27 : 4,746.43 = 1,316.19 : x
  2. Step 2: Convert to fraction form
    3,166.27/4,746.43 = 1,316.19/x
  3. Step 3: Cross multiply
    3,166.27x = 4,746.43 × 1,316.19
  4. Step 4: Simplify right side
    3,166.27x = 6,247,203.70
  5. Step 5: Solve for x
    x = 6,247,203.70/3,166.27
  6. Step 6: Final answer
    x = 1,973.05

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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.