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Finding the Fourth Proportional to 2,697.52, 4,048.14 and 1,773.52

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Solution

The fourth proportional to 2,697.52, 4,048.14 and 1,773.52 is: 2,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.52 : 4,048.14 = 1,773.52 : x
  2. Step 2: Convert to fraction form
    2,697.52/4,048.14 = 1,773.52/x
  3. Step 3: Cross multiply
    2,697.52x = 4,048.14 × 1,773.52
  4. Step 4: Simplify right side
    2,697.52x = 7,179,457.25
  5. Step 5: Solve for x
    x = 7,179,457.25/2,697.52
  6. Step 6: Final answer
    x = 2,661.50

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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.