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Finding the Fourth Proportional to 1,970.27, 2,953.58 and 670.83

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Solution

The fourth proportional to 1,970.27, 2,953.58 and 670.83 is: 1,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.27 : 2,953.58 = 670.83 : x
  2. Step 2: Convert to fraction form
    1,970.27/2,953.58 = 670.83/x
  3. Step 3: Cross multiply
    1,970.27x = 2,953.58 × 670.83
  4. Step 4: Simplify right side
    1,970.27x = 1,981,346.72
  5. Step 5: Solve for x
    x = 1,981,346.72/1,970.27
  6. Step 6: Final answer
    x = 1,005.62

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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.