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Finding the Fourth Proportional to 2,700.64, 3,723.42 and 1,814.50

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Solution

The fourth proportional to 2,700.64, 3,723.42 and 1,814.50 is: 2,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.64 : 3,723.42 = 1,814.50 : x
  2. Step 2: Convert to fraction form
    2,700.64/3,723.42 = 1,814.50/x
  3. Step 3: Cross multiply
    2,700.64x = 3,723.42 × 1,814.50
  4. Step 4: Simplify right side
    2,700.64x = 6,756,146.84
  5. Step 5: Solve for x
    x = 6,756,146.84/2,700.64
  6. Step 6: Final answer
    x = 2,501.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.