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Finding the Fourth Proportional to 2,591.32, 3,574.94 and 1,753

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Solution

The fourth proportional to 2,591.32, 3,574.94 and 1,753 is: 2,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.32 : 3,574.94 = 1,753 : x
  2. Step 2: Convert to fraction form
    2,591.32/3,574.94 = 1,753/x
  3. Step 3: Cross multiply
    2,591.32x = 3,574.94 × 1,753
  4. Step 4: Simplify right side
    2,591.32x = 6,266,869.82
  5. Step 5: Solve for x
    x = 6,266,869.82/2,591.32
  6. Step 6: Final answer
    x = 2,418.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.