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Finding the Fourth Proportional to 2,423.18, 3,635.40 and 779.96

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Solution

The fourth proportional to 2,423.18, 3,635.40 and 779.96 is: 1,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.18 : 3,635.40 = 779.96 : x
  2. Step 2: Convert to fraction form
    2,423.18/3,635.40 = 779.96/x
  3. Step 3: Cross multiply
    2,423.18x = 3,635.40 × 779.96
  4. Step 4: Simplify right side
    2,423.18x = 2,835,466.58
  5. Step 5: Solve for x
    x = 2,835,466.58/2,423.18
  6. Step 6: Final answer
    x = 1,170.14

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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.