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Finding the Fourth Proportional to 2,999.64, 4,500.54 and 1,052.13

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Solution

The fourth proportional to 2,999.64, 4,500.54 and 1,052.13 is: 1,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.64 : 4,500.54 = 1,052.13 : x
  2. Step 2: Convert to fraction form
    2,999.64/4,500.54 = 1,052.13/x
  3. Step 3: Cross multiply
    2,999.64x = 4,500.54 × 1,052.13
  4. Step 4: Simplify right side
    2,999.64x = 4,735,153.15
  5. Step 5: Solve for x
    x = 4,735,153.15/2,999.64
  6. Step 6: Final answer
    x = 1,578.57

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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.