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Finding the Fourth Proportional to 2,347.81, 3,239.80 and 1,285.34

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Solution

The fourth proportional to 2,347.81, 3,239.80 and 1,285.34 is: 1,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.81 : 3,239.80 = 1,285.34 : x
  2. Step 2: Convert to fraction form
    2,347.81/3,239.80 = 1,285.34/x
  3. Step 3: Cross multiply
    2,347.81x = 3,239.80 × 1,285.34
  4. Step 4: Simplify right side
    2,347.81x = 4,164,221.91
  5. Step 5: Solve for x
    x = 4,164,221.91/2,347.81
  6. Step 6: Final answer
    x = 1,773.67

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Why These Related Problems?

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