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Finding the Fourth Proportional to 3,115.50, 4,673.34 and 807

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Solution

The fourth proportional to 3,115.50, 4,673.34 and 807 is: 1,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.50 : 4,673.34 = 807 : x
  2. Step 2: Convert to fraction form
    3,115.50/4,673.34 = 807/x
  3. Step 3: Cross multiply
    3,115.50x = 4,673.34 × 807
  4. Step 4: Simplify right side
    3,115.50x = 3,771,385.38
  5. Step 5: Solve for x
    x = 3,771,385.38/3,115.50
  6. Step 6: Final answer
    x = 1,210.52

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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.