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Finding the Fourth Proportional to 2,848.87, 4,272.18 and 999.82

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Solution

The fourth proportional to 2,848.87, 4,272.18 and 999.82 is: 1,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.87 : 4,272.18 = 999.82 : x
  2. Step 2: Convert to fraction form
    2,848.87/4,272.18 = 999.82/x
  3. Step 3: Cross multiply
    2,848.87x = 4,272.18 × 999.82
  4. Step 4: Simplify right side
    2,848.87x = 4,271,411.01
  5. Step 5: Solve for x
    x = 4,271,411.01/2,848.87
  6. Step 6: Final answer
    x = 1,499.34

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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.