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Finding the Fourth Proportional to 2,173.47, 2,999.69 and 1,229.64

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Solution

The fourth proportional to 2,173.47, 2,999.69 and 1,229.64 is: 1,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.47 : 2,999.69 = 1,229.64 : x
  2. Step 2: Convert to fraction form
    2,173.47/2,999.69 = 1,229.64/x
  3. Step 3: Cross multiply
    2,173.47x = 2,999.69 × 1,229.64
  4. Step 4: Simplify right side
    2,173.47x = 3,688,532.66
  5. Step 5: Solve for x
    x = 3,688,532.66/2,173.47
  6. Step 6: Final answer
    x = 1,697.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.