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Finding the Fourth Proportional to 3,045.66, 4,567.88 and 854.41

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Solution

The fourth proportional to 3,045.66, 4,567.88 and 854.41 is: 1,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.66 : 4,567.88 = 854.41 : x
  2. Step 2: Convert to fraction form
    3,045.66/4,567.88 = 854.41/x
  3. Step 3: Cross multiply
    3,045.66x = 4,567.88 × 854.41
  4. Step 4: Simplify right side
    3,045.66x = 3,902,815.24
  5. Step 5: Solve for x
    x = 3,902,815.24/3,045.66
  6. Step 6: Final answer
    x = 1,281.44

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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.