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Finding the Fourth Proportional to 3,146.63, 4,720.73 and 1,566.11

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Solution

The fourth proportional to 3,146.63, 4,720.73 and 1,566.11 is: 2,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.63 : 4,720.73 = 1,566.11 : x
  2. Step 2: Convert to fraction form
    3,146.63/4,720.73 = 1,566.11/x
  3. Step 3: Cross multiply
    3,146.63x = 4,720.73 × 1,566.11
  4. Step 4: Simplify right side
    3,146.63x = 7,393,151.03
  5. Step 5: Solve for x
    x = 7,393,151.03/3,146.63
  6. Step 6: Final answer
    x = 2,349.54

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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.