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Finding the Fourth Proportional to 1,340.64, 2,007 and 1,108.44

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Solution

The fourth proportional to 1,340.64, 2,007 and 1,108.44 is: 1,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.64 : 2,007 = 1,108.44 : x
  2. Step 2: Convert to fraction form
    1,340.64/2,007 = 1,108.44/x
  3. Step 3: Cross multiply
    1,340.64x = 2,007 × 1,108.44
  4. Step 4: Simplify right side
    1,340.64x = 2,224,639.08
  5. Step 5: Solve for x
    x = 2,224,639.08/1,340.64
  6. Step 6: Final answer
    x = 1,659.39

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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.