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Finding the Fourth Proportional to 2,337.89, 3,505.54 and 930.88

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Solution

The fourth proportional to 2,337.89, 3,505.54 and 930.88 is: 1,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.89 : 3,505.54 = 930.88 : x
  2. Step 2: Convert to fraction form
    2,337.89/3,505.54 = 930.88/x
  3. Step 3: Cross multiply
    2,337.89x = 3,505.54 × 930.88
  4. Step 4: Simplify right side
    2,337.89x = 3,263,237.08
  5. Step 5: Solve for x
    x = 3,263,237.08/2,337.89
  6. Step 6: Final answer
    x = 1,395.80

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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.