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Finding the Fourth Proportional to 2,975.13, 4,459.59 and 999.27

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Solution

The fourth proportional to 2,975.13, 4,459.59 and 999.27 is: 1,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.13 : 4,459.59 = 999.27 : x
  2. Step 2: Convert to fraction form
    2,975.13/4,459.59 = 999.27/x
  3. Step 3: Cross multiply
    2,975.13x = 4,459.59 × 999.27
  4. Step 4: Simplify right side
    2,975.13x = 4,456,329.50
  5. Step 5: Solve for x
    x = 4,456,329.50/2,975.13
  6. Step 6: Final answer
    x = 1,497.86

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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.