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Finding the Fourth Proportional to 3,264.46, 4,897.60 and 1,316.20

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Solution

The fourth proportional to 3,264.46, 4,897.60 and 1,316.20 is: 1,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.46 : 4,897.60 = 1,316.20 : x
  2. Step 2: Convert to fraction form
    3,264.46/4,897.60 = 1,316.20/x
  3. Step 3: Cross multiply
    3,264.46x = 4,897.60 × 1,316.20
  4. Step 4: Simplify right side
    3,264.46x = 6,446,221.12
  5. Step 5: Solve for x
    x = 6,446,221.12/3,264.46
  6. Step 6: Final answer
    x = 1,974.67

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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.