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Finding the Fourth Proportional to 2,133.35, 3,199.77 and 573.47

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Solution

The fourth proportional to 2,133.35, 3,199.77 and 573.47 is: 860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.35 : 3,199.77 = 573.47 : x
  2. Step 2: Convert to fraction form
    2,133.35/3,199.77 = 573.47/x
  3. Step 3: Cross multiply
    2,133.35x = 3,199.77 × 573.47
  4. Step 4: Simplify right side
    2,133.35x = 1,834,972.10
  5. Step 5: Solve for x
    x = 1,834,972.10/2,133.35
  6. Step 6: Final answer
    x = 860.14

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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.