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Finding the Fourth Proportional to 2,390.63, 3,299.22 and 1,506.62

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Solution

The fourth proportional to 2,390.63, 3,299.22 and 1,506.62 is: 2,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.63 : 3,299.22 = 1,506.62 : x
  2. Step 2: Convert to fraction form
    2,390.63/3,299.22 = 1,506.62/x
  3. Step 3: Cross multiply
    2,390.63x = 3,299.22 × 1,506.62
  4. Step 4: Simplify right side
    2,390.63x = 4,970,654.34
  5. Step 5: Solve for x
    x = 4,970,654.34/2,390.63
  6. Step 6: Final answer
    x = 2,079.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.