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Finding the Fourth Proportional to 2,260.64, 3,122.08 and 1,518

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Solution

The fourth proportional to 2,260.64, 3,122.08 and 1,518 is: 2,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.64 : 3,122.08 = 1,518 : x
  2. Step 2: Convert to fraction form
    2,260.64/3,122.08 = 1,518/x
  3. Step 3: Cross multiply
    2,260.64x = 3,122.08 × 1,518
  4. Step 4: Simplify right side
    2,260.64x = 4,739,317.44
  5. Step 5: Solve for x
    x = 4,739,317.44/2,260.64
  6. Step 6: Final answer
    x = 2,096.45

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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.