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Finding the Fourth Proportional to 2,103.89, 3,155.72 and 642.93

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Solution

The fourth proportional to 2,103.89, 3,155.72 and 642.93 is: 964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.89 : 3,155.72 = 642.93 : x
  2. Step 2: Convert to fraction form
    2,103.89/3,155.72 = 642.93/x
  3. Step 3: Cross multiply
    2,103.89x = 3,155.72 × 642.93
  4. Step 4: Simplify right side
    2,103.89x = 2,028,908.67
  5. Step 5: Solve for x
    x = 2,028,908.67/2,103.89
  6. Step 6: Final answer
    x = 964.36

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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.