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Finding the Fourth Proportional to 1,405.92, 2,104.28 and 1,271.20

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Solution

The fourth proportional to 1,405.92, 2,104.28 and 1,271.20 is: 1,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.92 : 2,104.28 = 1,271.20 : x
  2. Step 2: Convert to fraction form
    1,405.92/2,104.28 = 1,271.20/x
  3. Step 3: Cross multiply
    1,405.92x = 2,104.28 × 1,271.20
  4. Step 4: Simplify right side
    1,405.92x = 2,674,960.74
  5. Step 5: Solve for x
    x = 2,674,960.74/1,405.92
  6. Step 6: Final answer
    x = 1,902.64

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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.