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Finding the Fourth Proportional to 2,337.09, 3,505.22 and 856

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Solution

The fourth proportional to 2,337.09, 3,505.22 and 856 is: 1,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.09 : 3,505.22 = 856 : x
  2. Step 2: Convert to fraction form
    2,337.09/3,505.22 = 856/x
  3. Step 3: Cross multiply
    2,337.09x = 3,505.22 × 856
  4. Step 4: Simplify right side
    2,337.09x = 3,000,468.32
  5. Step 5: Solve for x
    x = 3,000,468.32/2,337.09
  6. Step 6: Final answer
    x = 1,283.85

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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.