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Finding the Fourth Proportional to 2,440.42, 3,657.89 and 977.87

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Solution

The fourth proportional to 2,440.42, 3,657.89 and 977.87 is: 1,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.42 : 3,657.89 = 977.87 : x
  2. Step 2: Convert to fraction form
    2,440.42/3,657.89 = 977.87/x
  3. Step 3: Cross multiply
    2,440.42x = 3,657.89 × 977.87
  4. Step 4: Simplify right side
    2,440.42x = 3,576,952.48
  5. Step 5: Solve for x
    x = 3,576,952.48/2,440.42
  6. Step 6: Final answer
    x = 1,465.71

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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.