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Finding the Fourth Proportional to 2,693.79, 4,040.68 and 746.00

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Solution

The fourth proportional to 2,693.79, 4,040.68 and 746.00 is: 1,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.79 : 4,040.68 = 746.00 : x
  2. Step 2: Convert to fraction form
    2,693.79/4,040.68 = 746.00/x
  3. Step 3: Cross multiply
    2,693.79x = 4,040.68 × 746.00
  4. Step 4: Simplify right side
    2,693.79x = 3,014,327.08
  5. Step 5: Solve for x
    x = 3,014,327.08/2,693.79
  6. Step 6: Final answer
    x = 1,118.99

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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.