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Finding the Fourth Proportional to 1,246.15, 1,869.42 and 424.34

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Solution

The fourth proportional to 1,246.15, 1,869.42 and 424.34 is: 636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.15 : 1,869.42 = 424.34 : x
  2. Step 2: Convert to fraction form
    1,246.15/1,869.42 = 424.34/x
  3. Step 3: Cross multiply
    1,246.15x = 1,869.42 × 424.34
  4. Step 4: Simplify right side
    1,246.15x = 793,260.34
  5. Step 5: Solve for x
    x = 793,260.34/1,246.15
  6. Step 6: Final answer
    x = 636.57

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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.