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Finding the Fourth Proportional to 2,671.41, 4,007.00 and 697.04

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Solution

The fourth proportional to 2,671.41, 4,007.00 and 697.04 is: 1,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.41 : 4,007.00 = 697.04 : x
  2. Step 2: Convert to fraction form
    2,671.41/4,007.00 = 697.04/x
  3. Step 3: Cross multiply
    2,671.41x = 4,007.00 × 697.04
  4. Step 4: Simplify right side
    2,671.41x = 2,793,015.76
  5. Step 5: Solve for x
    x = 2,793,015.76/2,671.41
  6. Step 6: Final answer
    x = 1,045.52

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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.