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Finding the Fourth Proportional to 2,482.32, 3,425 and 1,378.32

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Solution

The fourth proportional to 2,482.32, 3,425 and 1,378.32 is: 1,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.32 : 3,425 = 1,378.32 : x
  2. Step 2: Convert to fraction form
    2,482.32/3,425 = 1,378.32/x
  3. Step 3: Cross multiply
    2,482.32x = 3,425 × 1,378.32
  4. Step 4: Simplify right side
    2,482.32x = 4,720,746
  5. Step 5: Solve for x
    x = 4,720,746/2,482.32
  6. Step 6: Final answer
    x = 1,901.75

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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.