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Finding the Fourth Proportional to 3,071.77, 4,609.01 and 1,610.57

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Solution

The fourth proportional to 3,071.77, 4,609.01 and 1,610.57 is: 2,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.77 : 4,609.01 = 1,610.57 : x
  2. Step 2: Convert to fraction form
    3,071.77/4,609.01 = 1,610.57/x
  3. Step 3: Cross multiply
    3,071.77x = 4,609.01 × 1,610.57
  4. Step 4: Simplify right side
    3,071.77x = 7,423,148.78
  5. Step 5: Solve for x
    x = 7,423,148.78/3,071.77
  6. Step 6: Final answer
    x = 2,416.57

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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.