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Finding the Fourth Proportional to 1,274.48, 1,909.92 and 1,120.04

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Solution

The fourth proportional to 1,274.48, 1,909.92 and 1,120.04 is: 1,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.48 : 1,909.92 = 1,120.04 : x
  2. Step 2: Convert to fraction form
    1,274.48/1,909.92 = 1,120.04/x
  3. Step 3: Cross multiply
    1,274.48x = 1,909.92 × 1,120.04
  4. Step 4: Simplify right side
    1,274.48x = 2,139,186.80
  5. Step 5: Solve for x
    x = 2,139,186.80/1,274.48
  6. Step 6: Final answer
    x = 1,678.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.