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Finding the Fourth Proportional to 2,344.49, 3,513.79 and 957.06

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Solution

The fourth proportional to 2,344.49, 3,513.79 and 957.06 is: 1,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.49 : 3,513.79 = 957.06 : x
  2. Step 2: Convert to fraction form
    2,344.49/3,513.79 = 957.06/x
  3. Step 3: Cross multiply
    2,344.49x = 3,513.79 × 957.06
  4. Step 4: Simplify right side
    2,344.49x = 3,362,905.46
  5. Step 5: Solve for x
    x = 3,362,905.46/2,344.49
  6. Step 6: Final answer
    x = 1,434.39

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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.