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Finding the Fourth Proportional to 2,875.52, 4,309.23 and 1,311.68

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Solution

The fourth proportional to 2,875.52, 4,309.23 and 1,311.68 is: 1,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.52 : 4,309.23 = 1,311.68 : x
  2. Step 2: Convert to fraction form
    2,875.52/4,309.23 = 1,311.68/x
  3. Step 3: Cross multiply
    2,875.52x = 4,309.23 × 1,311.68
  4. Step 4: Simplify right side
    2,875.52x = 5,652,330.81
  5. Step 5: Solve for x
    x = 5,652,330.81/2,875.52
  6. Step 6: Final answer
    x = 1,965.67

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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.