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Finding the Fourth Proportional to 2,103.59, 3,154.63 and 622.41

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Solution

The fourth proportional to 2,103.59, 3,154.63 and 622.41 is: 933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.59 : 3,154.63 = 622.41 : x
  2. Step 2: Convert to fraction form
    2,103.59/3,154.63 = 622.41/x
  3. Step 3: Cross multiply
    2,103.59x = 3,154.63 × 622.41
  4. Step 4: Simplify right side
    2,103.59x = 1,963,474.81
  5. Step 5: Solve for x
    x = 1,963,474.81/2,103.59
  6. Step 6: Final answer
    x = 933.39

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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.