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Finding the Fourth Proportional to 2,457.92, 3,682.02 and 1,907.12

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Solution

The fourth proportional to 2,457.92, 3,682.02 and 1,907.12 is: 2,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.92 : 3,682.02 = 1,907.12 : x
  2. Step 2: Convert to fraction form
    2,457.92/3,682.02 = 1,907.12/x
  3. Step 3: Cross multiply
    2,457.92x = 3,682.02 × 1,907.12
  4. Step 4: Simplify right side
    2,457.92x = 7,022,053.98
  5. Step 5: Solve for x
    x = 7,022,053.98/2,457.92
  6. Step 6: Final answer
    x = 2,856.91

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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.