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Finding the Fourth Proportional to 2,999.15, 4,496.94 and 1,024.07

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Solution

The fourth proportional to 2,999.15, 4,496.94 and 1,024.07 is: 1,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.15 : 4,496.94 = 1,024.07 : x
  2. Step 2: Convert to fraction form
    2,999.15/4,496.94 = 1,024.07/x
  3. Step 3: Cross multiply
    2,999.15x = 4,496.94 × 1,024.07
  4. Step 4: Simplify right side
    2,999.15x = 4,605,158.86
  5. Step 5: Solve for x
    x = 4,605,158.86/2,999.15
  6. Step 6: Final answer
    x = 1,535.49

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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.