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Finding the Fourth Proportional to 2,197.72, 3,296.50 and 554.25

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Solution

The fourth proportional to 2,197.72, 3,296.50 and 554.25 is: 831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.72 : 3,296.50 = 554.25 : x
  2. Step 2: Convert to fraction form
    2,197.72/3,296.50 = 554.25/x
  3. Step 3: Cross multiply
    2,197.72x = 3,296.50 × 554.25
  4. Step 4: Simplify right side
    2,197.72x = 1,827,065.87
  5. Step 5: Solve for x
    x = 1,827,065.87/2,197.72
  6. Step 6: Final answer
    x = 831.35

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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.