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Finding the Fourth Proportional to 2,377.96, 3,566.89 and 646.54

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Solution

The fourth proportional to 2,377.96, 3,566.89 and 646.54 is: 969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.96 : 3,566.89 = 646.54 : x
  2. Step 2: Convert to fraction form
    2,377.96/3,566.89 = 646.54/x
  3. Step 3: Cross multiply
    2,377.96x = 3,566.89 × 646.54
  4. Step 4: Simplify right side
    2,377.96x = 2,306,137.06
  5. Step 5: Solve for x
    x = 2,306,137.06/2,377.96
  6. Step 6: Final answer
    x = 969.80

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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.