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Finding the Fourth Proportional to 2,966.60, 4,446.30 and 1,321.40

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Solution

The fourth proportional to 2,966.60, 4,446.30 and 1,321.40 is: 1,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.60 : 4,446.30 = 1,321.40 : x
  2. Step 2: Convert to fraction form
    2,966.60/4,446.30 = 1,321.40/x
  3. Step 3: Cross multiply
    2,966.60x = 4,446.30 × 1,321.40
  4. Step 4: Simplify right side
    2,966.60x = 5,875,340.82
  5. Step 5: Solve for x
    x = 5,875,340.82/2,966.60
  6. Step 6: Final answer
    x = 1,980.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.