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Finding the Fourth Proportional to 1,518.90, 2,278.92 and 998.76

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Solution

The fourth proportional to 1,518.90, 2,278.92 and 998.76 is: 1,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.90 : 2,278.92 = 998.76 : x
  2. Step 2: Convert to fraction form
    1,518.90/2,278.92 = 998.76/x
  3. Step 3: Cross multiply
    1,518.90x = 2,278.92 × 998.76
  4. Step 4: Simplify right side
    1,518.90x = 2,276,093.01
  5. Step 5: Solve for x
    x = 2,276,093.01/1,518.90
  6. Step 6: Final answer
    x = 1,498.52

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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.