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Finding the Fourth Proportional to 2,127.38, 3,189.99 and 972.50

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Solution

The fourth proportional to 2,127.38, 3,189.99 and 972.50 is: 1,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.38 : 3,189.99 = 972.50 : x
  2. Step 2: Convert to fraction form
    2,127.38/3,189.99 = 972.50/x
  3. Step 3: Cross multiply
    2,127.38x = 3,189.99 × 972.50
  4. Step 4: Simplify right side
    2,127.38x = 3,102,265.28
  5. Step 5: Solve for x
    x = 3,102,265.28/2,127.38
  6. Step 6: Final answer
    x = 1,458.26

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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.