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Finding the Fourth Proportional to 4,377.40, 6,567.90 and 1,605.40

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Solution

The fourth proportional to 4,377.40, 6,567.90 and 1,605.40 is: 2,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.40 : 6,567.90 = 1,605.40 : x
  2. Step 2: Convert to fraction form
    4,377.40/6,567.90 = 1,605.40/x
  3. Step 3: Cross multiply
    4,377.40x = 6,567.90 × 1,605.40
  4. Step 4: Simplify right side
    4,377.40x = 10,544,106.66
  5. Step 5: Solve for x
    x = 10,544,106.66/4,377.40
  6. Step 6: Final answer
    x = 2,408.76

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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.