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Finding the Fourth Proportional to 2,423.18, 3,633.95 and 779.31

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Solution

The fourth proportional to 2,423.18, 3,633.95 and 779.31 is: 1,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.18 : 3,633.95 = 779.31 : x
  2. Step 2: Convert to fraction form
    2,423.18/3,633.95 = 779.31/x
  3. Step 3: Cross multiply
    2,423.18x = 3,633.95 × 779.31
  4. Step 4: Simplify right side
    2,423.18x = 2,831,975.52
  5. Step 5: Solve for x
    x = 2,831,975.52/2,423.18
  6. Step 6: Final answer
    x = 1,168.70

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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.