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Finding the Fourth Proportional to 2,334.86, 3,502.65 and 795.50

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Solution

The fourth proportional to 2,334.86, 3,502.65 and 795.50 is: 1,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.86 : 3,502.65 = 795.50 : x
  2. Step 2: Convert to fraction form
    2,334.86/3,502.65 = 795.50/x
  3. Step 3: Cross multiply
    2,334.86x = 3,502.65 × 795.50
  4. Step 4: Simplify right side
    2,334.86x = 2,786,358.08
  5. Step 5: Solve for x
    x = 2,786,358.08/2,334.86
  6. Step 6: Final answer
    x = 1,193.37

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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.