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Finding the Fourth Proportional to 3,166.76, 4,751.76 and 1,435.16

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Solution

The fourth proportional to 3,166.76, 4,751.76 and 1,435.16 is: 2,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.76 : 4,751.76 = 1,435.16 : x
  2. Step 2: Convert to fraction form
    3,166.76/4,751.76 = 1,435.16/x
  3. Step 3: Cross multiply
    3,166.76x = 4,751.76 × 1,435.16
  4. Step 4: Simplify right side
    3,166.76x = 6,819,535.88
  5. Step 5: Solve for x
    x = 6,819,535.88/3,166.76
  6. Step 6: Final answer
    x = 2,153.47

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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.