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Finding the Fourth Proportional to 2,405.71, 3,607.75 and 673.93

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Solution

The fourth proportional to 2,405.71, 3,607.75 and 673.93 is: 1,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.71 : 3,607.75 = 673.93 : x
  2. Step 2: Convert to fraction form
    2,405.71/3,607.75 = 673.93/x
  3. Step 3: Cross multiply
    2,405.71x = 3,607.75 × 673.93
  4. Step 4: Simplify right side
    2,405.71x = 2,431,370.96
  5. Step 5: Solve for x
    x = 2,431,370.96/2,405.71
  6. Step 6: Final answer
    x = 1,010.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.