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Finding the Fourth Proportional to 2,293.88, 3,163.94 and 1,410.17

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Solution

The fourth proportional to 2,293.88, 3,163.94 and 1,410.17 is: 1,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.88 : 3,163.94 = 1,410.17 : x
  2. Step 2: Convert to fraction form
    2,293.88/3,163.94 = 1,410.17/x
  3. Step 3: Cross multiply
    2,293.88x = 3,163.94 × 1,410.17
  4. Step 4: Simplify right side
    2,293.88x = 4,461,693.27
  5. Step 5: Solve for x
    x = 4,461,693.27/2,293.88
  6. Step 6: Final answer
    x = 1,945.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.