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Finding the Fourth Proportional to 1,610.64, 2,418 and 1,340.04

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Solution

The fourth proportional to 1,610.64, 2,418 and 1,340.04 is: 2,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.64 : 2,418 = 1,340.04 : x
  2. Step 2: Convert to fraction form
    1,610.64/2,418 = 1,340.04/x
  3. Step 3: Cross multiply
    1,610.64x = 2,418 × 1,340.04
  4. Step 4: Simplify right side
    1,610.64x = 3,240,216.72
  5. Step 5: Solve for x
    x = 3,240,216.72/1,610.64
  6. Step 6: Final answer
    x = 2,011.76

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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.