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Finding the Fourth Proportional to 2,330.25, 3,495.39 and 598.89

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Solution

The fourth proportional to 2,330.25, 3,495.39 and 598.89 is: 898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.25 : 3,495.39 = 598.89 : x
  2. Step 2: Convert to fraction form
    2,330.25/3,495.39 = 598.89/x
  3. Step 3: Cross multiply
    2,330.25x = 3,495.39 × 598.89
  4. Step 4: Simplify right side
    2,330.25x = 2,093,354.12
  5. Step 5: Solve for x
    x = 2,093,354.12/2,330.25
  6. Step 6: Final answer
    x = 898.34

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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.