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Finding the Fourth Proportional to 3,313.60, 4,966.80 and 1,464.40

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Solution

The fourth proportional to 3,313.60, 4,966.80 and 1,464.40 is: 2,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.60 : 4,966.80 = 1,464.40 : x
  2. Step 2: Convert to fraction form
    3,313.60/4,966.80 = 1,464.40/x
  3. Step 3: Cross multiply
    3,313.60x = 4,966.80 × 1,464.40
  4. Step 4: Simplify right side
    3,313.60x = 7,273,381.92
  5. Step 5: Solve for x
    x = 7,273,381.92/3,313.60
  6. Step 6: Final answer
    x = 2,195.01

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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.