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Finding the Fourth Proportional to 2,239.08, 3,358.61 and 595.63

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Solution

The fourth proportional to 2,239.08, 3,358.61 and 595.63 is: 893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.08 : 3,358.61 = 595.63 : x
  2. Step 2: Convert to fraction form
    2,239.08/3,358.61 = 595.63/x
  3. Step 3: Cross multiply
    2,239.08x = 3,358.61 × 595.63
  4. Step 4: Simplify right side
    2,239.08x = 2,000,486.23
  5. Step 5: Solve for x
    x = 2,000,486.23/2,239.08
  6. Step 6: Final answer
    x = 893.44

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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.