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Finding the Fourth Proportional to 2,342.34, 3,223.80 and 2,007

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Solution

The fourth proportional to 2,342.34, 3,223.80 and 2,007 is: 2,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.34 : 3,223.80 = 2,007 : x
  2. Step 2: Convert to fraction form
    2,342.34/3,223.80 = 2,007/x
  3. Step 3: Cross multiply
    2,342.34x = 3,223.80 × 2,007
  4. Step 4: Simplify right side
    2,342.34x = 6,470,166.60
  5. Step 5: Solve for x
    x = 6,470,166.60/2,342.34
  6. Step 6: Final answer
    x = 2,762.27

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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.