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Finding the Fourth Proportional to 2,730.96, 4,098.06 and 1,432.80

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Solution

The fourth proportional to 2,730.96, 4,098.06 and 1,432.80 is: 2,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.96 : 4,098.06 = 1,432.80 : x
  2. Step 2: Convert to fraction form
    2,730.96/4,098.06 = 1,432.80/x
  3. Step 3: Cross multiply
    2,730.96x = 4,098.06 × 1,432.80
  4. Step 4: Simplify right side
    2,730.96x = 5,871,700.37
  5. Step 5: Solve for x
    x = 5,871,700.37/2,730.96
  6. Step 6: Final answer
    x = 2,150.05

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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.