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Finding the Fourth Proportional to 2,330.50, 3,495.76 and 599.12

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Solution

The fourth proportional to 2,330.50, 3,495.76 and 599.12 is: 898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.50 : 3,495.76 = 599.12 : x
  2. Step 2: Convert to fraction form
    2,330.50/3,495.76 = 599.12/x
  3. Step 3: Cross multiply
    2,330.50x = 3,495.76 × 599.12
  4. Step 4: Simplify right side
    2,330.50x = 2,094,379.73
  5. Step 5: Solve for x
    x = 2,094,379.73/2,330.50
  6. Step 6: Final answer
    x = 898.68

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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.