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Finding the Fourth Proportional to 2,453.36, 3,680.64 and 698.32

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Solution

The fourth proportional to 2,453.36, 3,680.64 and 698.32 is: 1,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.36 : 3,680.64 = 698.32 : x
  2. Step 2: Convert to fraction form
    2,453.36/3,680.64 = 698.32/x
  3. Step 3: Cross multiply
    2,453.36x = 3,680.64 × 698.32
  4. Step 4: Simplify right side
    2,453.36x = 2,570,264.52
  5. Step 5: Solve for x
    x = 2,570,264.52/2,453.36
  6. Step 6: Final answer
    x = 1,047.65

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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.