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Finding the Fourth Proportional to 2,700.68, 4,051.78 and 2,443.64

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Solution

The fourth proportional to 2,700.68, 4,051.78 and 2,443.64 is: 3,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.68 : 4,051.78 = 2,443.64 : x
  2. Step 2: Convert to fraction form
    2,700.68/4,051.78 = 2,443.64/x
  3. Step 3: Cross multiply
    2,700.68x = 4,051.78 × 2,443.64
  4. Step 4: Simplify right side
    2,700.68x = 9,901,091.68
  5. Step 5: Solve for x
    x = 9,901,091.68/2,700.68
  6. Step 6: Final answer
    x = 3,666.15

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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.