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Finding the Fourth Proportional to 2,999.24, 4,498.86 and 947.24

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Solution

The fourth proportional to 2,999.24, 4,498.86 and 947.24 is: 1,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.24 : 4,498.86 = 947.24 : x
  2. Step 2: Convert to fraction form
    2,999.24/4,498.86 = 947.24/x
  3. Step 3: Cross multiply
    2,999.24x = 4,498.86 × 947.24
  4. Step 4: Simplify right side
    2,999.24x = 4,261,500.15
  5. Step 5: Solve for x
    x = 4,261,500.15/2,999.24
  6. Step 6: Final answer
    x = 1,420.86

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1.5x scale

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.