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Finding the Fourth Proportional to 3,045.70, 4,567.87 and 853.84

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Solution

The fourth proportional to 3,045.70, 4,567.87 and 853.84 is: 1,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.70 : 4,567.87 = 853.84 : x
  2. Step 2: Convert to fraction form
    3,045.70/4,567.87 = 853.84/x
  3. Step 3: Cross multiply
    3,045.70x = 4,567.87 × 853.84
  4. Step 4: Simplify right side
    3,045.70x = 3,900,230.12
  5. Step 5: Solve for x
    x = 3,900,230.12/3,045.70
  6. Step 6: Final answer
    x = 1,280.57

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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.