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Finding the Fourth Proportional to 2,238.59, 3,357.50 and 595.00

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Solution

The fourth proportional to 2,238.59, 3,357.50 and 595.00 is: 892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.59 : 3,357.50 = 595.00 : x
  2. Step 2: Convert to fraction form
    2,238.59/3,357.50 = 595.00/x
  3. Step 3: Cross multiply
    2,238.59x = 3,357.50 × 595.00
  4. Step 4: Simplify right side
    2,238.59x = 1,997,698.18
  5. Step 5: Solve for x
    x = 1,997,698.18/2,238.59
  6. Step 6: Final answer
    x = 892.39

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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.