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Finding the Fourth Proportional to 2,253.81, 3,380.12 and 693.41

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Solution

The fourth proportional to 2,253.81, 3,380.12 and 693.41 is: 1,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.81 : 3,380.12 = 693.41 : x
  2. Step 2: Convert to fraction form
    2,253.81/3,380.12 = 693.41/x
  3. Step 3: Cross multiply
    2,253.81x = 3,380.12 × 693.41
  4. Step 4: Simplify right side
    2,253.81x = 2,343,802.29
  5. Step 5: Solve for x
    x = 2,343,802.29/2,253.81
  6. Step 6: Final answer
    x = 1,039.93

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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.