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Finding the Fourth Proportional to 2,106.24, 3,158.52 and 644.88

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Solution

The fourth proportional to 2,106.24, 3,158.52 and 644.88 is: 967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.24 : 3,158.52 = 644.88 : x
  2. Step 2: Convert to fraction form
    2,106.24/3,158.52 = 644.88/x
  3. Step 3: Cross multiply
    2,106.24x = 3,158.52 × 644.88
  4. Step 4: Simplify right side
    2,106.24x = 2,036,866.38
  5. Step 5: Solve for x
    x = 2,036,866.38/2,106.24
  6. Step 6: Final answer
    x = 967.06

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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.