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Finding the Fourth Proportional to 3,483.90, 4,807.06 and 1,992.30

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Solution

The fourth proportional to 3,483.90, 4,807.06 and 1,992.30 is: 2,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.90 : 4,807.06 = 1,992.30 : x
  2. Step 2: Convert to fraction form
    3,483.90/4,807.06 = 1,992.30/x
  3. Step 3: Cross multiply
    3,483.90x = 4,807.06 × 1,992.30
  4. Step 4: Simplify right side
    3,483.90x = 9,577,105.64
  5. Step 5: Solve for x
    x = 9,577,105.64/3,483.90
  6. Step 6: Final answer
    x = 2,748.96

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1.5x scale

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.