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Finding the Fourth Proportional to 1,412.08, 1,949.30 and 940.80

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Solution

The fourth proportional to 1,412.08, 1,949.30 and 940.80 is: 1,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.08 : 1,949.30 = 940.80 : x
  2. Step 2: Convert to fraction form
    1,412.08/1,949.30 = 940.80/x
  3. Step 3: Cross multiply
    1,412.08x = 1,949.30 × 940.80
  4. Step 4: Simplify right side
    1,412.08x = 1,833,901.44
  5. Step 5: Solve for x
    x = 1,833,901.44/1,412.08
  6. Step 6: Final answer
    x = 1,298.72

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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.