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Finding the Fourth Proportional to 1,620.05, 2,429.87 and 646.83

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Solution

The fourth proportional to 1,620.05, 2,429.87 and 646.83 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.05 : 2,429.87 = 646.83 : x
  2. Step 2: Convert to fraction form
    1,620.05/2,429.87 = 646.83/x
  3. Step 3: Cross multiply
    1,620.05x = 2,429.87 × 646.83
  4. Step 4: Simplify right side
    1,620.05x = 1,571,709.58
  5. Step 5: Solve for x
    x = 1,571,709.58/1,620.05
  6. Step 6: Final answer
    x = 970.16

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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.