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Finding the Fourth Proportional to 2,001.50, 3,001.76 and 595.64

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Solution

The fourth proportional to 2,001.50, 3,001.76 and 595.64 is: 893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.50 : 3,001.76 = 595.64 : x
  2. Step 2: Convert to fraction form
    2,001.50/3,001.76 = 595.64/x
  3. Step 3: Cross multiply
    2,001.50x = 3,001.76 × 595.64
  4. Step 4: Simplify right side
    2,001.50x = 1,787,970.87
  5. Step 5: Solve for x
    x = 1,787,970.87/2,001.50
  6. Step 6: Final answer
    x = 893.32

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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.