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Finding the Fourth Proportional to 2,070.65, 3,105.96 and 974.42

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Solution

The fourth proportional to 2,070.65, 3,105.96 and 974.42 is: 1,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.65 : 3,105.96 = 974.42 : x
  2. Step 2: Convert to fraction form
    2,070.65/3,105.96 = 974.42/x
  3. Step 3: Cross multiply
    2,070.65x = 3,105.96 × 974.42
  4. Step 4: Simplify right side
    2,070.65x = 3,026,509.54
  5. Step 5: Solve for x
    x = 3,026,509.54/2,070.65
  6. Step 6: Final answer
    x = 1,461.62

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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.