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Finding the Fourth Proportional to 1,246.26, 1,869.15 and 380.46

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Solution

The fourth proportional to 1,246.26, 1,869.15 and 380.46 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.26 : 1,869.15 = 380.46 : x
  2. Step 2: Convert to fraction form
    1,246.26/1,869.15 = 380.46/x
  3. Step 3: Cross multiply
    1,246.26x = 1,869.15 × 380.46
  4. Step 4: Simplify right side
    1,246.26x = 711,136.81
  5. Step 5: Solve for x
    x = 711,136.81/1,246.26
  6. Step 6: Final answer
    x = 570.62

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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.