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Finding the Fourth Proportional to 2,364.40, 3,262.72 and 1,578.32

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Solution

The fourth proportional to 2,364.40, 3,262.72 and 1,578.32 is: 2,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.40 : 3,262.72 = 1,578.32 : x
  2. Step 2: Convert to fraction form
    2,364.40/3,262.72 = 1,578.32/x
  3. Step 3: Cross multiply
    2,364.40x = 3,262.72 × 1,578.32
  4. Step 4: Simplify right side
    2,364.40x = 5,149,616.23
  5. Step 5: Solve for x
    x = 5,149,616.23/2,364.40
  6. Step 6: Final answer
    x = 2,177.98

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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.