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Finding the Fourth Proportional to 3,166.26, 4,750.32 and 1,411.70

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Solution

The fourth proportional to 3,166.26, 4,750.32 and 1,411.70 is: 2,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.26 : 4,750.32 = 1,411.70 : x
  2. Step 2: Convert to fraction form
    3,166.26/4,750.32 = 1,411.70/x
  3. Step 3: Cross multiply
    3,166.26x = 4,750.32 × 1,411.70
  4. Step 4: Simplify right side
    3,166.26x = 6,706,026.74
  5. Step 5: Solve for x
    x = 6,706,026.74/3,166.26
  6. Step 6: Final answer
    x = 2,117.96

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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.