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Finding the Fourth Proportional to 2,905.61, 4,358.81 and 957.96

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Solution

The fourth proportional to 2,905.61, 4,358.81 and 957.96 is: 1,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.61 : 4,358.81 = 957.96 : x
  2. Step 2: Convert to fraction form
    2,905.61/4,358.81 = 957.96/x
  3. Step 3: Cross multiply
    2,905.61x = 4,358.81 × 957.96
  4. Step 4: Simplify right side
    2,905.61x = 4,175,568.02
  5. Step 5: Solve for x
    x = 4,175,568.02/2,905.61
  6. Step 6: Final answer
    x = 1,437.07

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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.