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Finding the Fourth Proportional to 2,438.10, 3,657.51 and 977.22

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Solution

The fourth proportional to 2,438.10, 3,657.51 and 977.22 is: 1,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.10 : 3,657.51 = 977.22 : x
  2. Step 2: Convert to fraction form
    2,438.10/3,657.51 = 977.22/x
  3. Step 3: Cross multiply
    2,438.10x = 3,657.51 × 977.22
  4. Step 4: Simplify right side
    2,438.10x = 3,574,191.92
  5. Step 5: Solve for x
    x = 3,574,191.92/2,438.10
  6. Step 6: Final answer
    x = 1,465.97

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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.