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Finding the Fourth Proportional to 2,437.62, 3,657.34 and 1,464.42

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Solution

The fourth proportional to 2,437.62, 3,657.34 and 1,464.42 is: 2,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.62 : 3,657.34 = 1,464.42 : x
  2. Step 2: Convert to fraction form
    2,437.62/3,657.34 = 1,464.42/x
  3. Step 3: Cross multiply
    2,437.62x = 3,657.34 × 1,464.42
  4. Step 4: Simplify right side
    2,437.62x = 5,355,881.84
  5. Step 5: Solve for x
    x = 5,355,881.84/2,437.62
  6. Step 6: Final answer
    x = 2,197.18

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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.