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Finding the Fourth Proportional to 2,698.00, 4,047.01 and 1,542.94

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Solution

The fourth proportional to 2,698.00, 4,047.01 and 1,542.94 is: 2,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.00 : 4,047.01 = 1,542.94 : x
  2. Step 2: Convert to fraction form
    2,698.00/4,047.01 = 1,542.94/x
  3. Step 3: Cross multiply
    2,698.00x = 4,047.01 × 1,542.94
  4. Step 4: Simplify right side
    2,698.00x = 6,244,279.63
  5. Step 5: Solve for x
    x = 6,244,279.63/2,698.00
  6. Step 6: Final answer
    x = 2,314.41

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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.