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Finding the Fourth Proportional to 2,567.70, 3,855.90 and 2,436.18

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Solution

The fourth proportional to 2,567.70, 3,855.90 and 2,436.18 is: 3,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.70 : 3,855.90 = 2,436.18 : x
  2. Step 2: Convert to fraction form
    2,567.70/3,855.90 = 2,436.18/x
  3. Step 3: Cross multiply
    2,567.70x = 3,855.90 × 2,436.18
  4. Step 4: Simplify right side
    2,567.70x = 9,393,666.46
  5. Step 5: Solve for x
    x = 9,393,666.46/2,567.70
  6. Step 6: Final answer
    x = 3,658.40

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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.