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Finding the Fourth Proportional to 1,412.12, 1,950.12 and 1,313.84

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Solution

The fourth proportional to 1,412.12, 1,950.12 and 1,313.84 is: 1,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.12 : 1,950.12 = 1,313.84 : x
  2. Step 2: Convert to fraction form
    1,412.12/1,950.12 = 1,313.84/x
  3. Step 3: Cross multiply
    1,412.12x = 1,950.12 × 1,313.84
  4. Step 4: Simplify right side
    1,412.12x = 2,562,145.66
  5. Step 5: Solve for x
    x = 2,562,145.66/1,412.12
  6. Step 6: Final answer
    x = 1,814.40

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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.