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Finding the Fourth Proportional to 2,813.62, 4,239.48 and 2,337.34

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Solution

The fourth proportional to 2,813.62, 4,239.48 and 2,337.34 is: 3,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.62 : 4,239.48 = 2,337.34 : x
  2. Step 2: Convert to fraction form
    2,813.62/4,239.48 = 2,337.34/x
  3. Step 3: Cross multiply
    2,813.62x = 4,239.48 × 2,337.34
  4. Step 4: Simplify right side
    2,813.62x = 9,909,094.50
  5. Step 5: Solve for x
    x = 9,909,094.50/2,813.62
  6. Step 6: Final answer
    x = 3,521.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.