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Finding the Fourth Proportional to 1,246.16, 1,869.10 and 321.68

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Solution

The fourth proportional to 1,246.16, 1,869.10 and 321.68 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.16 : 1,869.10 = 321.68 : x
  2. Step 2: Convert to fraction form
    1,246.16/1,869.10 = 321.68/x
  3. Step 3: Cross multiply
    1,246.16x = 1,869.10 × 321.68
  4. Step 4: Simplify right side
    1,246.16x = 601,252.09
  5. Step 5: Solve for x
    x = 601,252.09/1,246.16
  6. Step 6: Final answer
    x = 482.48

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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.