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Finding the Fourth Proportional to 2,177.00, 3,265.47 and 533.53

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Solution

The fourth proportional to 2,177.00, 3,265.47 and 533.53 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.00 : 3,265.47 = 533.53 : x
  2. Step 2: Convert to fraction form
    2,177.00/3,265.47 = 533.53/x
  3. Step 3: Cross multiply
    2,177.00x = 3,265.47 × 533.53
  4. Step 4: Simplify right side
    2,177.00x = 1,742,218.05
  5. Step 5: Solve for x
    x = 1,742,218.05/2,177.00
  6. Step 6: Final answer
    x = 800.29

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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.