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Finding the Fourth Proportional to 2,505.81, 3,459.58 and 1,609.91

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Solution

The fourth proportional to 2,505.81, 3,459.58 and 1,609.91 is: 2,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.81 : 3,459.58 = 1,609.91 : x
  2. Step 2: Convert to fraction form
    2,505.81/3,459.58 = 1,609.91/x
  3. Step 3: Cross multiply
    2,505.81x = 3,459.58 × 1,609.91
  4. Step 4: Simplify right side
    2,505.81x = 5,569,595.14
  5. Step 5: Solve for x
    x = 5,569,595.14/2,505.81
  6. Step 6: Final answer
    x = 2,222.68

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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.