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Finding the Fourth Proportional to 1,347.92, 2,021.87 and 374.01

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Solution

The fourth proportional to 1,347.92, 2,021.87 and 374.01 is: 561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.92 : 2,021.87 = 374.01 : x
  2. Step 2: Convert to fraction form
    1,347.92/2,021.87 = 374.01/x
  3. Step 3: Cross multiply
    1,347.92x = 2,021.87 × 374.01
  4. Step 4: Simplify right side
    1,347.92x = 756,197.73
  5. Step 5: Solve for x
    x = 756,197.73/1,347.92
  6. Step 6: Final answer
    x = 561.01

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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.