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Finding the Fourth Proportional to 1,709.96, 2,359.23 and 1,046.66

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Solution

The fourth proportional to 1,709.96, 2,359.23 and 1,046.66 is: 1,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.96 : 2,359.23 = 1,046.66 : x
  2. Step 2: Convert to fraction form
    1,709.96/2,359.23 = 1,046.66/x
  3. Step 3: Cross multiply
    1,709.96x = 2,359.23 × 1,046.66
  4. Step 4: Simplify right side
    1,709.96x = 2,469,311.67
  5. Step 5: Solve for x
    x = 2,469,311.67/1,709.96
  6. Step 6: Final answer
    x = 1,444.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.