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Finding the Fourth Proportional to 3,166.48, 4,751.70 and 1,218.88

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Solution

The fourth proportional to 3,166.48, 4,751.70 and 1,218.88 is: 1,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.48 : 4,751.70 = 1,218.88 : x
  2. Step 2: Convert to fraction form
    3,166.48/4,751.70 = 1,218.88/x
  3. Step 3: Cross multiply
    3,166.48x = 4,751.70 × 1,218.88
  4. Step 4: Simplify right side
    3,166.48x = 5,791,752.10
  5. Step 5: Solve for x
    x = 5,791,752.10/3,166.48
  6. Step 6: Final answer
    x = 1,829.08

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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.