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Finding the Fourth Proportional to 1,518.54, 2,288.76 and 1,518.54

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Solution

The fourth proportional to 1,518.54, 2,288.76 and 1,518.54 is: 2,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.54 : 2,288.76 = 1,518.54 : x
  2. Step 2: Convert to fraction form
    1,518.54/2,288.76 = 1,518.54/x
  3. Step 3: Cross multiply
    1,518.54x = 2,288.76 × 1,518.54
  4. Step 4: Simplify right side
    1,518.54x = 3,475,573.61
  5. Step 5: Solve for x
    x = 3,475,573.61/1,518.54
  6. Step 6: Final answer
    x = 2,288.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.