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Finding the Fourth Proportional to 2,947.02, 4,420.24 and 999

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Solution

The fourth proportional to 2,947.02, 4,420.24 and 999 is: 1,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.02 : 4,420.24 = 999 : x
  2. Step 2: Convert to fraction form
    2,947.02/4,420.24 = 999/x
  3. Step 3: Cross multiply
    2,947.02x = 4,420.24 × 999
  4. Step 4: Simplify right side
    2,947.02x = 4,415,819.76
  5. Step 5: Solve for x
    x = 4,415,819.76/2,947.02
  6. Step 6: Final answer
    x = 1,498.40

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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.