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Finding the Fourth Proportional to 2,848.01, 4,269.29 and 997.91

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Solution

The fourth proportional to 2,848.01, 4,269.29 and 997.91 is: 1,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.01 : 4,269.29 = 997.91 : x
  2. Step 2: Convert to fraction form
    2,848.01/4,269.29 = 997.91/x
  3. Step 3: Cross multiply
    2,848.01x = 4,269.29 × 997.91
  4. Step 4: Simplify right side
    2,848.01x = 4,260,340.85
  5. Step 5: Solve for x
    x = 4,260,340.85/2,848.01
  6. Step 6: Final answer
    x = 1,495.90

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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.