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Finding the Fourth Proportional to 3,160.09, 4,730.40 and 1,864.09

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Solution

The fourth proportional to 3,160.09, 4,730.40 and 1,864.09 is: 2,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.09 : 4,730.40 = 1,864.09 : x
  2. Step 2: Convert to fraction form
    3,160.09/4,730.40 = 1,864.09/x
  3. Step 3: Cross multiply
    3,160.09x = 4,730.40 × 1,864.09
  4. Step 4: Simplify right side
    3,160.09x = 8,817,891.34
  5. Step 5: Solve for x
    x = 8,817,891.34/3,160.09
  6. Step 6: Final answer
    x = 2,790.39

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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.