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Finding the Fourth Proportional to 1,414.02, 2,120.00 and 592.54

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Solution

The fourth proportional to 1,414.02, 2,120.00 and 592.54 is: 888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.02 : 2,120.00 = 592.54 : x
  2. Step 2: Convert to fraction form
    1,414.02/2,120.00 = 592.54/x
  3. Step 3: Cross multiply
    1,414.02x = 2,120.00 × 592.54
  4. Step 4: Simplify right side
    1,414.02x = 1,256,180.98
  5. Step 5: Solve for x
    x = 1,256,180.98/1,414.02
  6. Step 6: Final answer
    x = 888.38

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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.