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Finding the Fourth Proportional to 1,412.82, 1,946.97 and 1,176.30

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Solution

The fourth proportional to 1,412.82, 1,946.97 and 1,176.30 is: 1,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.82 : 1,946.97 = 1,176.30 : x
  2. Step 2: Convert to fraction form
    1,412.82/1,946.97 = 1,176.30/x
  3. Step 3: Cross multiply
    1,412.82x = 1,946.97 × 1,176.30
  4. Step 4: Simplify right side
    1,412.82x = 2,290,220.81
  5. Step 5: Solve for x
    x = 2,290,220.81/1,412.82
  6. Step 6: Final answer
    x = 1,621.03

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