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Finding the Fourth Proportional to 2,438.98, 3,656.81 and 957.27

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Solution

The fourth proportional to 2,438.98, 3,656.81 and 957.27 is: 1,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.98 : 3,656.81 = 957.27 : x
  2. Step 2: Convert to fraction form
    2,438.98/3,656.81 = 957.27/x
  3. Step 3: Cross multiply
    2,438.98x = 3,656.81 × 957.27
  4. Step 4: Simplify right side
    2,438.98x = 3,500,554.51
  5. Step 5: Solve for x
    x = 3,500,554.51/2,438.98
  6. Step 6: Final answer
    x = 1,435.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.