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Finding the Fourth Proportional to 2,446.83, 3,670.43 and 715.59

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Solution

The fourth proportional to 2,446.83, 3,670.43 and 715.59 is: 1,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.83 : 3,670.43 = 715.59 : x
  2. Step 2: Convert to fraction form
    2,446.83/3,670.43 = 715.59/x
  3. Step 3: Cross multiply
    2,446.83x = 3,670.43 × 715.59
  4. Step 4: Simplify right side
    2,446.83x = 2,626,519.43
  5. Step 5: Solve for x
    x = 2,626,519.43/2,446.83
  6. Step 6: Final answer
    x = 1,073.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.