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Finding the Fourth Proportional to 2,103.58, 3,155.86 and 642.72

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Solution

The fourth proportional to 2,103.58, 3,155.86 and 642.72 is: 964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.58 : 3,155.86 = 642.72 : x
  2. Step 2: Convert to fraction form
    2,103.58/3,155.86 = 642.72/x
  3. Step 3: Cross multiply
    2,103.58x = 3,155.86 × 642.72
  4. Step 4: Simplify right side
    2,103.58x = 2,028,334.34
  5. Step 5: Solve for x
    x = 2,028,334.34/2,103.58
  6. Step 6: Final answer
    x = 964.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.