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Finding the Fourth Proportional to 2,446.83, 3,670.24 and 597.93

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Solution

The fourth proportional to 2,446.83, 3,670.24 and 597.93 is: 896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.83 : 3,670.24 = 597.93 : x
  2. Step 2: Convert to fraction form
    2,446.83/3,670.24 = 597.93/x
  3. Step 3: Cross multiply
    2,446.83x = 3,670.24 × 597.93
  4. Step 4: Simplify right side
    2,446.83x = 2,194,546.60
  5. Step 5: Solve for x
    x = 2,194,546.60/2,446.83
  6. Step 6: Final answer
    x = 896.89

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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.