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Finding the Fourth Proportional to 2,844.70, 4,259.74 and 2,407.30

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Solution

The fourth proportional to 2,844.70, 4,259.74 and 2,407.30 is: 3,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.70 : 4,259.74 = 2,407.30 : x
  2. Step 2: Convert to fraction form
    2,844.70/4,259.74 = 2,407.30/x
  3. Step 3: Cross multiply
    2,844.70x = 4,259.74 × 2,407.30
  4. Step 4: Simplify right side
    2,844.70x = 10,254,472.10
  5. Step 5: Solve for x
    x = 10,254,472.10/2,844.70
  6. Step 6: Final answer
    x = 3,604.76

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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.