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Finding the Fourth Proportional to 2,730.64, 4,095.84 and 999.28

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Solution

The fourth proportional to 2,730.64, 4,095.84 and 999.28 is: 1,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.64 : 4,095.84 = 999.28 : x
  2. Step 2: Convert to fraction form
    2,730.64/4,095.84 = 999.28/x
  3. Step 3: Cross multiply
    2,730.64x = 4,095.84 × 999.28
  4. Step 4: Simplify right side
    2,730.64x = 4,092,891.00
  5. Step 5: Solve for x
    x = 4,092,891.00/2,730.64
  6. Step 6: Final answer
    x = 1,498.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.