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Finding the Fourth Proportional to 1,999.24, 3,000.14 and 972.68

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Solution

The fourth proportional to 1,999.24, 3,000.14 and 972.68 is: 1,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.24 : 3,000.14 = 972.68 : x
  2. Step 2: Convert to fraction form
    1,999.24/3,000.14 = 972.68/x
  3. Step 3: Cross multiply
    1,999.24x = 3,000.14 × 972.68
  4. Step 4: Simplify right side
    1,999.24x = 2,918,176.18
  5. Step 5: Solve for x
    x = 2,918,176.18/1,999.24
  6. Step 6: Final answer
    x = 1,459.64

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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.