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Finding the Fourth Proportional to 1,302.80, 1,954.20 and 1,246.10

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Solution

The fourth proportional to 1,302.80, 1,954.20 and 1,246.10 is: 1,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.80 : 1,954.20 = 1,246.10 : x
  2. Step 2: Convert to fraction form
    1,302.80/1,954.20 = 1,246.10/x
  3. Step 3: Cross multiply
    1,302.80x = 1,954.20 × 1,246.10
  4. Step 4: Simplify right side
    1,302.80x = 2,435,128.62
  5. Step 5: Solve for x
    x = 2,435,128.62/1,302.80
  6. Step 6: Final answer
    x = 1,869.15

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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.