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Finding the Fourth Proportional to 1,678.86, 2,518.43 and 446.29

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Solution

The fourth proportional to 1,678.86, 2,518.43 and 446.29 is: 669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.86 : 2,518.43 = 446.29 : x
  2. Step 2: Convert to fraction form
    1,678.86/2,518.43 = 446.29/x
  3. Step 3: Cross multiply
    1,678.86x = 2,518.43 × 446.29
  4. Step 4: Simplify right side
    1,678.86x = 1,123,941.60
  5. Step 5: Solve for x
    x = 1,123,941.60/1,678.86
  6. Step 6: Final answer
    x = 669.47

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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.