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Finding the Fourth Proportional to 2,178.96, 3,271.68 and 1,530.96

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Solution

The fourth proportional to 2,178.96, 3,271.68 and 1,530.96 is: 2,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.96 : 3,271.68 = 1,530.96 : x
  2. Step 2: Convert to fraction form
    2,178.96/3,271.68 = 1,530.96/x
  3. Step 3: Cross multiply
    2,178.96x = 3,271.68 × 1,530.96
  4. Step 4: Simplify right side
    2,178.96x = 5,008,811.21
  5. Step 5: Solve for x
    x = 5,008,811.21/2,178.96
  6. Step 6: Final answer
    x = 2,298.72

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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.