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Finding the Fourth Proportional to 2,599.72, 3,901.12 and 957.41

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Solution

The fourth proportional to 2,599.72, 3,901.12 and 957.41 is: 1,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.72 : 3,901.12 = 957.41 : x
  2. Step 2: Convert to fraction form
    2,599.72/3,901.12 = 957.41/x
  3. Step 3: Cross multiply
    2,599.72x = 3,901.12 × 957.41
  4. Step 4: Simplify right side
    2,599.72x = 3,734,985.97
  5. Step 5: Solve for x
    x = 3,734,985.97/2,599.72
  6. Step 6: Final answer
    x = 1,436.69

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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.