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Finding the Fourth Proportional to 2,059.48, 3,089.46 and 672.46

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Solution

The fourth proportional to 2,059.48, 3,089.46 and 672.46 is: 1,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.48 : 3,089.46 = 672.46 : x
  2. Step 2: Convert to fraction form
    2,059.48/3,089.46 = 672.46/x
  3. Step 3: Cross multiply
    2,059.48x = 3,089.46 × 672.46
  4. Step 4: Simplify right side
    2,059.48x = 2,077,538.27
  5. Step 5: Solve for x
    x = 2,077,538.27/2,059.48
  6. Step 6: Final answer
    x = 1,008.77

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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.