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Finding the Fourth Proportional to 2,308.65, 3,461.84 and 1,321.31

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Solution

The fourth proportional to 2,308.65, 3,461.84 and 1,321.31 is: 1,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.65 : 3,461.84 = 1,321.31 : x
  2. Step 2: Convert to fraction form
    2,308.65/3,461.84 = 1,321.31/x
  3. Step 3: Cross multiply
    2,308.65x = 3,461.84 × 1,321.31
  4. Step 4: Simplify right side
    2,308.65x = 4,574,170.81
  5. Step 5: Solve for x
    x = 4,574,170.81/2,308.65
  6. Step 6: Final answer
    x = 1,981.32

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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.