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Finding the Fourth Proportional to 2,423.06, 3,636.82 and 2,294.88

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Solution

The fourth proportional to 2,423.06, 3,636.82 and 2,294.88 is: 3,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.06 : 3,636.82 = 2,294.88 : x
  2. Step 2: Convert to fraction form
    2,423.06/3,636.82 = 2,294.88/x
  3. Step 3: Cross multiply
    2,423.06x = 3,636.82 × 2,294.88
  4. Step 4: Simplify right side
    2,423.06x = 8,346,065.48
  5. Step 5: Solve for x
    x = 8,346,065.48/2,423.06
  6. Step 6: Final answer
    x = 3,444.43

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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.