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Finding the Fourth Proportional to 1,412.92, 1,950.03 and 1,176.53

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Solution

The fourth proportional to 1,412.92, 1,950.03 and 1,176.53 is: 1,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.92 : 1,950.03 = 1,176.53 : x
  2. Step 2: Convert to fraction form
    1,412.92/1,950.03 = 1,176.53/x
  3. Step 3: Cross multiply
    1,412.92x = 1,950.03 × 1,176.53
  4. Step 4: Simplify right side
    1,412.92x = 2,294,268.80
  5. Step 5: Solve for x
    x = 2,294,268.80/1,412.92
  6. Step 6: Final answer
    x = 1,623.78

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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.