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Finding the Fourth Proportional to 2,992.64, 4,482.78 and 1,756.32

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Solution

The fourth proportional to 2,992.64, 4,482.78 and 1,756.32 is: 2,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.64 : 4,482.78 = 1,756.32 : x
  2. Step 2: Convert to fraction form
    2,992.64/4,482.78 = 1,756.32/x
  3. Step 3: Cross multiply
    2,992.64x = 4,482.78 × 1,756.32
  4. Step 4: Simplify right side
    2,992.64x = 7,873,196.17
  5. Step 5: Solve for x
    x = 7,873,196.17/2,992.64
  6. Step 6: Final answer
    x = 2,630.85

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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.