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Finding the Fourth Proportional to 2,358.12, 3,254.46 and 1,363.38

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Solution

The fourth proportional to 2,358.12, 3,254.46 and 1,363.38 is: 1,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.12 : 3,254.46 = 1,363.38 : x
  2. Step 2: Convert to fraction form
    2,358.12/3,254.46 = 1,363.38/x
  3. Step 3: Cross multiply
    2,358.12x = 3,254.46 × 1,363.38
  4. Step 4: Simplify right side
    2,358.12x = 4,437,065.67
  5. Step 5: Solve for x
    x = 4,437,065.67/2,358.12
  6. Step 6: Final answer
    x = 1,881.61

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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.