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Finding the Fourth Proportional to 4,941.93, 7,412.99 and 1,654.41

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Solution

The fourth proportional to 4,941.93, 7,412.99 and 1,654.41 is: 2,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.93 : 7,412.99 = 1,654.41 : x
  2. Step 2: Convert to fraction form
    4,941.93/7,412.99 = 1,654.41/x
  3. Step 3: Cross multiply
    4,941.93x = 7,412.99 × 1,654.41
  4. Step 4: Simplify right side
    4,941.93x = 12,264,116.51
  5. Step 5: Solve for x
    x = 12,264,116.51/4,941.93
  6. Step 6: Final answer
    x = 2,481.65

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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.