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Finding the Fourth Proportional to 1,659.56, 2,290.50 and 1,162.94

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Solution

The fourth proportional to 1,659.56, 2,290.50 and 1,162.94 is: 1,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.56 : 2,290.50 = 1,162.94 : x
  2. Step 2: Convert to fraction form
    1,659.56/2,290.50 = 1,162.94/x
  3. Step 3: Cross multiply
    1,659.56x = 2,290.50 × 1,162.94
  4. Step 4: Simplify right side
    1,659.56x = 2,663,719.80
  5. Step 5: Solve for x
    x = 2,663,719.80/1,659.56
  6. Step 6: Final answer
    x = 1,605.07

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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.